Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y = 2/ x^2 + 3

Answer 1

There is more than one solution. For example we could take:

$f(x)=\dfrac{2}{x}+3$

and

$g(x)=x^2$

Then:

$f(g(x))=f(x^2)=\dfrac{2}{x^2}+3$