## anonymous one year ago I NEED HELP!!!! Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = quantity x minus nine divided by quantity x plus five. and g(x) = quantity negative seven x minus eight divided by quantity x minus one.

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1. anonymous

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2. anonymous

Sorry people, I just really need help!!

3. anonymous

Could you possibly take a picture of the equation?

4. anonymous

No it was written out..

5. myininaya

$f(x)=\frac{x-9}{x+5} , g(x)=\frac{-7x-8}{x-1}$ is this what you mean?

6. myininaya

don't think you are going to be able to confirm what you want to with that f and g

7. Vocaloid

actually, it's possible, it just requires a lot of algebraic simplification to find f(g(x)), take the expression for g(x) and substitute it in for x in f(x), and after simplifying you should get x do the same thing for g(f(x))

8. Vocaloid

please tag me if you need to see the numbers worked out

9. myininaya

Yes I know it is possible to find f(g(x)) and g(f(x)) but the person will not be able to confirm what they wanted @Vocaloid

10. myininaya

I think there was a type-o since the question says confirm which means they are indeed inverses but these are not inverses.

11. Vocaloid

@myininaya Oh, I see, well in that case, I stand corrected.

12. myininaya

But the person can reach this conclusion by doing that whole plugin in thing and clearing the compound fractions as you mentioned