Question

Find f(x) and g(x) so that the function can be described as y=f(g(x)) y=2/x^2+9

Answer 1

`f(x)=(2)/(x) \\g(x)=x^2+9`

Explanation:

One easy selection of possible f(x) and g(x) functions is:

`f(x)=(2)/(x) \\g(x)=x^2+9`

Since when composed to form
`f(g(x))` they give:

`f(g(x))=(2)/(g(x)) =(2)/(x^2+9)`