## anonymous one year ago Find f(x) and g(x) so that the function can be described as y = f(g(x)).

1. anonymous

2. anonymous

f(x)=$\frac{ 2 }{ x^{2} }$

3. vera_ewing

@satellite73

4. anonymous

Your pick for f(x) won't work because you need the x part to be with g(x). You can choose g(x) = 2/x² though because it's the inside function

5. anonymous

Then f(x) is the outside function, so it would be like you substituted 2/x² in for the x in f(x) = x + 9

6. anonymous

so f(x)=x+9 f(2/(x^2))=(2/(x^2))+9 is wrong?

7. anonymous

that's right because g(x) = 2/x²

8. anonymous

so when g(x) = 2/x², the x in f(x) = x + 9 f(2/x²)=2/x², +9?

9. anonymous

yes that's correct

10. anonymous

thank you

11. anonymous

so i just write

12. anonymous

13. zzr0ck3r

1) Don't use $$y$$ as $$y$$ here is actually $$f(g(x))$$. So just use $$f(x)$$ and $$g(x)$$ 2) What you wrote in that last post is not what you wrote before, the latter is incorrect. You want $$f(x) = x+9$$ and $$g(x) = \dfrac{2}{x^2}$$. Now we have $$f(g(x)) = f(\dfrac{2}{x^2})= \dfrac{2}{x^2}+9$$ as desired.

14. anonymous

I think I misunderstood what you were saying. f(x) = x + 9 g(x) = 2/x² The function f(g(x)) = (2/x²) + 9 is a composed function made up of both f(x) and g(x).

15. anonymous

so just this: f(x) and g(x) so that the function can be described as y = f(g(x)). f(x)= 2/x²+ 9 g(x) = 2/x²

16. zzr0ck3r

p.s. If you would like to be a smart retriceon the test, there is always one answer that will work. Let $$g(x) = \frac{2}{x^2}+9$$ and let $$f(x) = x$$, or vice versa. This will always work :)

17. zzr0ck3r

that should say "smart a**"