Find f(x) and g(x) so the function can be expressed as y = f(g(x) y = (8)/(x^2)+4

Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x) y =
`(8)/(x^2)`+4

Answer 1

Explanation:

Hello,

`f(g(x))=(8)/(x^2)+4`

So if we take

`f(x)=(8)/(x)+4 \ \ and \\\\g(x)=x^2\\ \\f(g(x))=(8)/(g(x))+4=(8)/(x^2)+4`

Hope this helps.

Do not hesitate if you need further explanation.

Thank you