Trish Goal

1. Find all values of p such that 2(x+4)(x-2p) has a minimum value of -18. I know that y is the minimum value,I know x is -4. But, I am not sure how to find p. 2.The temperature of a point (x,y) in the plane is given by the expression x^2+ y^2 - 4x + 2y.W...

11 years ago

1.What is the smallest possible value of 2x^4+(8/x^4) over all real nonzero values of x? To find the minimum value you have to factor it, but I am not sure how to factor this. 2.What is the maximum value of c such that the graph of the parabola y=1/3x^2 h...

11 years ago

Find all values of p such that 2(x+4)(x-2p) has a minimum value of -18? I know x=-4 but I do not know that helps us. Please explain in steps! The temperature of a point (x,y) in the plane is given by the expression x^2-y^2-4x+2y. What is the temperature o...

10 years ago

What is the minimum possible value for y=x^2+12x+5? I am not sure where to start.

10 years ago

What is the minimum possible value for y=x^2+12x+5? I am not sure where to even start. Thank you!

10 years ago

There are three real numbers x that are not in the domain of f(x)=1/ 1+ (1+1/x). What is the sum of those three numbers. 0 is one of them,I don't know the other ones.Thank you!

10 years ago

There are three real numbers x that are not in the domain of f(x)=1/ 1+ (1+1/x). What is the sum of those three numbers. Thank you!?

10 years ago

The function f(x) satisfies f(sqrt(x+1))=1/x for all x>= -1, x does not = 0. Find f(2). Couldn't you just plug it in? sqrt(3) would be 1/sqrt 3? Thank you.

10 years ago

Let f(x)-3x-7/x+1. Fidnd the range of f. Give your answer as an interval. Please enter your response in interval notation. I figured out the range, ( -inf,-1) and (-1, inf) Thank you.

10 years ago

Find all complex numbers z such that z^2=2i. Write your solutions in form, separated by commas. So, "1+2i, 3-i" is an acceptable answer format, but "2i+1; -i+3" is not. Thank you!

10 years ago

What is the domain of the function l(y)= 1/(y-2)+(y-8)? Thank you!

10 years ago

What is the range of the function r(x)-1/(1-x)^2? Express your answer in interval notation. Thank you!

10 years ago

What is the smallest integer value of c such that the function f(x)=x^2+1/x^2-x+c has a domain of all real numbers? Thank you!

10 years ago

Compute the domain of the real-valued function f(x)=sqrt(1-sqrt(2-x)). Thank you

10 years ago

Find the greatest integer value of b for which the expression 9x^2+4x^2+11x+7/x^2+bx+8 has a domain for all real numbers? Thank you!

10 years ago

Find the domain of srt(6-x-x^2. Thank you!

10 years ago

How many real numbers are not in the domain of the function f(x)=(1/x-64)+(1/x^2-64)+(1/x^3-64)? Thank you!

10 years ago

How many real numbers are not in the domain of the function f(x)=(1/x-64)+(1/x^2-64)+(1/x^3-64)?

10 years ago

Let A(t)3-2t^2+4^t. Find A(2)-A(1)Thank you!

10 years ago

The function f(x) satisfies f(sqrt(x+1))=1/x for all x>= -1, x does not = 0. Find f(2)Thank you!

10 years ago

what is the domain of the function u(x)=1/sqrt(x)? Thank you!

10 years ago

Let f(x)-3x-7/x+1. Find the range of f. Give your answer as an interval. Please enter your response in interval notation. I figured out the domain, ( -inf,-1) and (-1, inf) .

10 years ago

Find all complex numbers such that z^2=2i. Thank you!

10 years ago

Suppose a function f(x) has a domain of (-inf,inf) and range [-11,3]. If we define a new function g(x) by g(x)=f(6x) +1, then what is the range of g(x)? Express your answer in interval notation. Thank you!

10 years ago

Consider the f(x)=srt(x+1/x-1) and g(x)= sqrt(x+1)/sqrt(x-1). Explain why f and g are not the same function. Thank you!

10 years ago

1. Let f(x)=2x+5 g(x)=sqrt(f(x) -2 h(x)= f(g(x)) What is h(2)? 2. Define the function f(x)=2x-5. For what value of x is f(x) equal to f^-1(x)? Thanks!

10 years ago

Let N,O be functions such that N(x)=2srt(x),O(x)=x^2. What is N(O(N(O(N(O(3))))))? Thank you!

10 years ago

Define the function f(x)=2x-5. For what value of x is f(x) equal to f^-1(x)? Thank you!

10 years ago

For real numbers a and b, define a%b=sqrt(a^2+b^2). What is the value of (5%12)%((-12)%(-5))? The percentage is just a random sign the problem had a diamond instead, I just couldn't find any other symbol.Thank you!

10 years ago

If P(x)=4+2sqrt(x+2) and G(x)=4-3X, then what is the largest constant such that P(G(a)) is defined? Thank you!

10 years ago

Define a#b as the arithmetic mean of a and b. What is the value of ((1#2)#2)#4? Express your answer as a common fraction. The hashtag is just a sign. Thank you!

10 years ago

My calculator is broken. The "+" key works correctly,but whenever I try to compute a-b, the calculator performs b-a instead. What answer does mny calculator compute for the expression ((7-10)+3)-5? Thank you!

10 years ago

Define #N by the formula #N=.5(N)+1. Calculate #(#(#50)).

10 years ago

The inverse of f(x)=2x-1/x+5 may be writeen in the form f^-1(x)=ax+b/cx+d where a,b,c, and d are real numbers. Find a/c. Thank you!

10 years ago

Define #N by the formula #N=.5(N)+1. Calculate #(#(#50)). Thank you!

10 years ago

Define f(x)=3x-8. If f^-1 is the inverse of f, find the value (s) of x for which f(x)=f^-1(x). Thank you!

10 years ago

Let x#y=x^2/y for all x and y such that y cannot equal 0. Find all values of a such that a#3=9. Thank you.

10 years ago

Let f(a,b)=2a-3b^2=7. If f(b,3)=90, then what is b? Thank you.

10 years ago

Suppose a(x)=3x-7 and b(x)=2-x^3. Find a(b(3))-b(a(3)). Thank you.

10 years ago

Let f(x)=1/ax+b where and b are non zero constants. Find all solutions to f^-1(x)=0. Express your answer in terms of a and/or b. Thank you.

10 years ago

Let f(x)= 3x-7/x+1. Find the inverse f^-1(x). Thank you.

10 years ago

Let f(x)=2x+7 and g(x)=3x+c. Find c if (f#g)(x)=(g#f)(x) for all x. Thank you.

10 years ago

Let f(x)=x^2-2x. Find all real numbers x such that f(x)=f(f(x)). Thank you.

10 years ago

The function f(x,y) accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the following rules: If x>4, f(x,y)=(x-4,y). If x<=4 but y>4, f(x,y)=(x,y-4). Otherwise, f(x,y)=(x+5,y+6). A robot starts by moving t...

10 years ago

Given the function f(x)=3x^3+2, find the value of x so that f^-1(x)=4. Thank you. I tried to solve for the inverse by susbsituting y in for x so: x=3y^3+2 and then I subtracted 2 so x-2=3y^3 and I am stuck here, do I just cube root the whole thing? If so,...

10 years ago

The values of a function f(x) are given in the table: x=1, f(x)=3 x=2. f(x)=1 x=3. f(x)=5 x=4, f(x)=4 x=5, f(x)=2 If f^-1 exists, then what is f^-1(f^-1(f^-1(1)))? I am not quite sure what this question is asking. I know it is asking to find the inverse 3...

10 years ago

If f(x)=x^5-1/3, find f^-1(-31/96). I think the first step would be to find the inverse of -31/96, but I am not sure how to find that :). Then I could make x^5-1/3= the inverse of -31/96.

10 years ago

Let p(x)=2x^3-113 and let q be the inverse of p. Find q(137). Please explain in steps. I posted this already but I did not list my steps. The first step would be to find the inverse of 2x^3-113 which would be: y=(x+113/2)^1/3. and then would I just plut i...

10 years ago

If h(y)=1+y/2-y, then what is the value of h^-1(5)? Express your answer in simpilest form. The first step would be to find the inverse of the 1+y/2-y which would be 2y-xy I think, and then would we plug in 5 for x or y?

10 years ago

Suppose that f(x)=4x+5. What is f^-1(f^-(9))? I am pretty sure we can plug in 9 for f(x) which gives us the value of 1. But then we have one more f^-1 but the inverse of 1 is -1. So would the answer be one?

10 years ago

Given that f(x) is a function such that f(1)=2, f(4)=3, f(7)=4, and f^-1(x) is the inverse of f(x), what is f^-1(f^-1(3))? I am really getting confused with the two F^-1. Please help. Thank you.

10 years ago

Given the functions f(x)=x+5/3 and g(x)=1/f^-1(x)+1, find the value of g(3). The first step would first be to find the inverse of x+1, the denominator of the fraction. I think the inverse would be 1-x. And now we have 1/1-x so we can just plu in 3. Right?

10 years ago

The values of a function f(x) are given in the table below: x=1, f(x)=3 x=2, f(x)=13 x=3. f(x)=8 x=5,f(x)=1 x=8,f(x)=0 x=13, f(x)=5 If f^-1 exists, what is f^-1((f^-1(5)+f^-1(13))/ f^-1(1))? I am not quite sure how to do this.

10 years ago

Let f(x)=px+q, where p and q are real numbers. Find p+q if f(f(f(x)))=8x+21. Thank you. I got this p^3 +p^2q + pq + q = 29 Would you try to solve that? if yes, then how?

10 years ago

How many square units are in the area of the triangle whose vertices are the x and y intercepts of the cuure y=(x-3)^2(x+2)?

10 years ago

Find all points (x,y) that are 13 units away from the point (2,7) and that lie on the line x-2y=10.

10 years ago

The graphs of y=3-x^2+x^3 and y=1+x^2+x^3 intersect in multiple points. Find the maximum difference between the y-coordinates of these intersection points.

10 years ago

The graphs of a function f(x)=3x+b and its inverse function f^-1(x) intersect at the point (-3,a). Given that b and a are both integers, what is the value of a?

10 years ago

What are the coordinates of the points where f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect?

10 years ago

Let a and b be real numbers, where a<b, and let A=(a,a^2) and B=(b,b^2). The line AB( meaning the unique line that contains the point A and the point B) has x-interecept (-3/2,0) and y-intercept (0,3). Find a and b.

10 years ago

Assume that f(3)=4. Name a point that must be on the graph of y=f(x)+4

10 years ago

Consider the polynomials: F(x)= 4x^3 + 3x^2 + 2x +1 G(x)= 3 - 4x + 5x^2 - 6x^3 Find c such that the polynomial f(x)+cg(x) has degree 2.

10 years ago

Let f,g, and h be polynomials such that h(x)=f(x)*g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)?

10 years ago

Find all positive integer values of c such that the equation x^2-7x+c=0 only has roots that are real and rational.

10 years ago

Suppose that f is a polynomial such that (x^2-1)*f(x)=5x^6-x^5+3x^4+x^3-25x^2+38x-17. What is the degree of?

10 years ago

If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x)-g(x)?

10 years ago

If p(x)=x^4-3x+2, then find the coefficient of the x^3 term in the polynomial (p(x))^3.

10 years ago

I already posted this question and Reiny answered it, I just wanted to clarify my answer Problem: If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x)-g(x)? Reiny: so f(x) has to contain an...

10 years ago

Find h(x) with terms in order of decreasing degree, if 9x^3-3x+1+h(x)=3x^2-5x+3.

10 years ago

What is the coefficient of x^3 when 24x^4+6x^3+4x^2-7x-5 is multiplied by 6x^3+3x^2+3x+4 and the like terms are combined? I got 144x^7+108x^6+90x^5+114x^4+24x^3 so the answer would be 24. But I am not sure if I am right.

10 years ago

I already posted this question,Steve answered it. I just wanted to clarify my answer. Problem:Find h(x) with terms in order of decreasing degree, if 9x^3-3x+1+h(x)=3x^2-5x+3. Steve: h(x) = (3x^2-5x+3)-(9x^3-3x+1) so, just subtract tghe coefficients of lik...

10 years ago

When the product (3x+2y+1)(x+4y+5) is expanded, what is the sum of the coefficients of the terms which contain a nonzero power of y? I got 3x^2+14xy+16x+8y^2+14y+5 would the answer be 36?

10 years ago

Let f(x)=4x^7+x^5+3x^2-2x+c. For what value of c is f(-1)=0?

10 years ago

Part a: Let f(x)=x^4-3x^2+2 and g(x)=2x^4-6x^2+2x-1. Let a be a constant. What is the largest possible degree of f(x)+a*g(x)? Part b: Let x^4-3x^2+2 and g(x)=2x^4-6x^2+2x-1. Let b be a constant. What is the smallest possible degree of the polynomial f(x)...

10 years ago

Find the leading coefficeint in the polynomial -3(x^4-x^3+x)+7(x^4+2)-4(2x^4+2x^2+1) after it is simplified. I got this -3x^4+3x^2-3x+7x^4+14-8x^4-8x^2-4 and I simplified it to -4x^4-5x^2+10 so what would the leading coeffiecient be -4?

10 years ago

Suppose f is a polynomial such that f(0)=47, f(1)=32,f(2)=-13, and f(3)=16. what is the sum of the coefficients of f?

10 years ago

Find t if the expansion of the product of x^3-4x^2+2x-5 and x^2+tx-7 has no x^2 term.

10 years ago

There is a polynomial which, when multiplied by x^2+2x+3, gives 2x^5+3x^4+8x^3+8x^2+18x+9. What is the polynomial?

10 years ago

The polynomial f(x) has degree 3. If f(-1)=15, f(0)=0, f(1)=-5, f(2)=12, then what are the x-intercepts of the graph of f?

10 years ago

I already asked this question,I just wanted to clarify the answer. Problem: The polynomial f(x) has degree 3. If f(-1)=15, f(0)=0, f(1)=-5, f(2)=12, then what are the x-intercepts of the graph of f? Steve: clearly, f(0) = 0 so, f(x) = ax^3+bx^2+cx = x(ax^...

10 years ago

Solve for x: (1/25)^x+2=125^-x

10 years ago

When Frederick was born, his grandparents gave hime a gift of $2000, which was invested at an interest rate of 5% per year, compounded yearly. How much money will Frederick have when he collects the money at the age of 18? gGive your answer to the nearest...

10 years ago

Given that 2^x+2^x+2^x+2^x=512, what is the value of x? I think it simpliflies to 2^4x=512. and 2^9=512 but to get 9 you have to mulitply something to 4, but its 2.25 is that right?

10 years ago

Solve for x, when (2^(x+1)^3)*4^x=8192.

10 years ago

I already posted this question, I just wanted to clarify my answer. Problem: When Frederick was born, his grandparents gave hime a gift of $2000, which was invested at an interest rate of 5% per year, compounded yearly. How much money will Frederick have...

10 years ago

Is 2000(1+0.05)^18=4183.24?

10 years ago

Kimberly borrows 1000 dollars from Lucy,who charged interest of 5% per month ( which compounds monthly). What is the least integer number of months after which Kimberly will owe more than twice as much as she borrowed?

10 years ago

When Frederick was born, his grandparents gave hima a gift of $2000, which was invested at a simple interest rate of 5% per year. How much money will Frederick have when he can collect the monet at the age of 18? ( Assume no money is added to the account...

10 years ago

Sue can either borrow 10,000 dollars for 5 years with a simple interest of 7% annually or an interest which compounds annually for 6%. How much more money, rounded to the nearest dollar, would she have to pay back for the more expensive interest

10 years ago

I already posted this question,and Henrey answered it. I just wanted to clarify a few things to make sure I am on the right track Problem: Joanie takes a $6,000 loan to pay for her car. The annual interest reate on the loan is 12%. She makes no payments f...

10 years ago

Write a method in Java that takes two parameters. If the first parameter is equal to the second parameter multiply both and print the result. Thanks.

10 years ago

This was the assignment: If the first parameter is less than the second parameter add the two and print the result 10 times. THIS PROGRAM IS IN JAVA. I did everything but I can't figure out how to print the result as a loop 10 times. public static void ma...

10 years ago

This was the assignment: If the first parameter is less than the second parameter add the two and print the result 10 times. THIS PROGRAM IS IN JAVA. I did everything but I can't figure out how to print the result as a loop 10 times. public static void ma...

10 years ago

Nickels are worth .5 and dimes are worth .10. You could set up x as the number of nickelse and y as the number of dimes. So you could set up your first equation as: .5x+.10y=1.20 Second equation: 2x=y now you could just plug in 2x for y in the first equat...

10 years ago

Yes it is (x+5)/3 thank you for correcting me.

10 years ago

Given the functions f(x)=(x+5)/3 and g(x)=1/f^-1(x)+1, find the value of g(3). The first step would first be to find the inverse of x+1, the denominator of the fraction. I think the inverse would be 1-x. And now we have 1/1-x so we can just plu in 3. Righ...

10 years ago

I did but I couldn't find the point of intersection.

10 years ago

I don't understand what to do. Please clarify. Thank you.

10 years ago

Because it is asking for the terms in order of decreasing degree.

10 years ago

Is this answer right? 4183.24

10 years ago

I don't get how you got 4: 4*2^x = 2^2 * 2^x = 2^(x+2)

10 years ago

Correction (2^(x+1)^3*4^x=8192. The whole expression, 2^(x+1) is raised to the power of 3.

10 years ago