Having a little trouble?

This is the problem I have to solve.
Find f(x) and g(x) so the function can be expressed as y = f(g(x)).

y = 7/x^2 + 10

I used:
f(x)=7/x
g(x)=x^2+10

But when i plugged everything in I got 7/x^2+10.
How can I fix that?

Question

Having a little trouble? 

This is the problem I have to solve.
Find f(x) and g(x) so the function can be expressed as y = f(g(x)).

y = 7/x^2 + 10 

I used:
f(x)=7/x
g(x)=x^2+10

But when i plugged everything in I got 7/x^2+10.
How can I fix that?

anonymous · Answer

close... let f(x) = 7/x + 10 and let g(x) = x^2

amistre64 · Answer

is that +10 in the denominator?

anonymous · Answer

Yes, my answer had +10 in the denominator but it's not supposed to be.

anonymous · Answer

$$f(x) = \frac{ 7 }{ x }+10 \text{, }g(x)=x^2 \text{.  Then }f(g(x)) = \frac{ 7 }{ g(x) }+10=\frac{ 7 }{ x^2 }+10$$

amistre64 · Answer

another approach is:

f(x) = x+10,  g(x) = 7/x

amistre64 · Answer

well, 7/x^2 lol

anonymous · Answer

yes but g(x) would have to be 7/x^2

anonymous · Answer

you got it

anonymous · Answer

I see where I was wrong now. Thank you guys so much.

anonymous · Answer

you're welcome!