## anonymous 3 years ago What is the quotient in simplest form? State any restrictions on the variable. x+2/ x-1 divided by x + 4/x^2 + 4x - 5

1. anonymous

$\frac{ x+2}{ x-1 }\div \frac{ x+4 }{ x^2+4x-5 }=\frac{ x+2 }{ x-1 }\div \frac{ x+4 }{ (x+5)(x-1) }$ $=\frac{ x+2 }{ x-1 }\times \frac{(x+5)(x-1) }{x+4 }$ Simplify it now.

2. anonymous

(x+2)(x+5)/x+4 ?

3. anonymous

what are the restrictions?

4. anonymous

you there @Azteck

5. anonymous

What can't x equal to?

6. anonymous

What number do you prevent x to be so that the denominator of the fraction does not become undefined?

7. anonymous

$\dfrac{(x+2)(x+5)}{x+4}$ What can't x be???

8. anonymous

@algebra2sucks

9. anonymous

1,-4,-5?

10. anonymous

Dude, if x=1, will there be a value coming out from that fraction there?

11. anonymous

I'm not so sure, but I reckon they're asking you for restrictions after you simplify the quotient.

12. anonymous

Because questions don't ask for you to do something in the beginning at the end of the question. They rather put the question and command you to do stuff in chronological order...

13. anonymous

Ooooh ok so its just -5, and -4??

14. anonymous

Is that right @Azteck

15. anonymous

Why -5?

16. anonymous

Put -5 into that fraction. What do you get? Do you undefined? If you don't get undefined, then -5 ain't restricting noone.

17. anonymous

Well these are the answers I have A. (x+2)(x+5)/x+4; x = -5, -4 B. (x+2)(x+4)/(x+4)^2(x+5); x = 1, -5 C. (x+2)(x+4)/(x+4)^2(x+5); x = 1, -5,-4 D. (x+2)(x+5)/x+4; x = 1, -4, -5

18. anonymous

Then you have to find the restrictions in the quotient. So you were correct before. D is the answer. These questions are dodgy, if they didn't give you multiple choice. Next time write the WHOLE QUESTION down before you post...

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