Question

What is the quotient in simpliest form? State any restrictions on the variable.
x+2/x-1 divided by x+4/x^2+4x-5.

My answer (x+2)(x+5)/x+4; don't get the restriction part either -5,-4 or 1,-4,-5

Can someone please help?

Answer 1

For typing of this kind of question in this format, brackets are of critical importance

I will assume you meant:

(x+2)/(x-1) ÷ ( (x+4)/(x^2 + 4x - 5) )

then..

= (x+2)/(x-1) * (x^2 + 4x - 5)/(x+4)
= (x+2)/(x-1) (x+5)(x-1)/(x+4)
= (x+2)(x+5)/(x+4) , x ≠ 1, -5,-4

In the original divisor of (x+4)/((x-1)(x+5)
is x = 1 or -5, that expression would be undefined, so we restrict those values

similarly looking at the final answer, we are dividing by x+4.
If x = -4 , we could be dividing by zero, a no-no
So we have restrictions of 1, -5, -4

your answer is correct, other than the above restrictions.

Answer 2

mlg

Answer 3

that's correct! for Connections Academy its
B p-8; -4
C q+8/q-8; -3,8
D z^2+2z/z+3; -1,0,-3
D (x+2)(x+5)/x+4; 1,-4,-5
B
These are 100% for Algebra 2 Unit 3 Rational Functions Lesson 4 Rational Expressions

Answer 4

Yuppp^

Answer 5

@Your Welcome, probably wont see this, but it helps to see the correct answers. I was stuck on 4.

Answer 6

"your welcome"'s answers, I can say it's 100% right! I just took the test!! I was in unit 4 though not 3! Also it would be YOU'RE welcome....!

Answer 7

100% Correct!!

Answer 8

@Your Welcome tysm theyre correct :)

Answer 9

creeper

Answer 10

its 2020 and these are still right

Answer 11

May 21, 2021. "your welcome's" answers are correct for the connections academy ALG2B Unit 5 Lesson 4 Rational Functions Quick Check.

Answer 12

still correct Feb 22🙏🏻