Question

I need help with these problems for a test.
1. Find the inverse of the one-to-one function.
f(x)=5x+1/4.

2. The height of the water, H, in feet, at a boat dock t hours after 7 am is given by E=7+4.4cos pi/35 t, where t is time measured in seconds. Find the period.

3. Solve the equation on the interval [0, 2ë).
a) sin^2x - cos^2x = 0

b) sin4x=(sq3)/2

4. Factor completely, or state that the polynomial is prime.
27y^4-147y^2

Answer 1

#3 solve on the interval [0,2pi]

Answer 2

4. 27Y^4-147Y^2=3Y^2(9Y^2-49)=
3Y^2(3Y+7)(3Y-7)

Hint: 9y^2-49 is the difference of 2 squares and is factored into 2 binomials.

Answer 3

F(x)=5X+1/4 Or Y=5X+1/4
To determine the inverse of a function,
replace all Xs with Y and all Ys with X: X=5Y+1/4 Then Multiply both sides of eguation by 4 to eliminate the fraction: 4X=20Y+1. Solve for Y:
Y=(4X-1)/20= Inverse function.

Answer 4

#1) 3y + 12 / 8y third power divided 9y + 36 / 16y third power #2) 8x second power / x second power - 9 x 2 second power + 6x +9 / 16x third power

Answer 5

f(x)=3-4x when f(x)=-5