# How do you express the following function, f(x) as a composition of two functions f and g given f(x)=x^2/(x^2+4)?

Jan 22, 2016

Find two functions that could go into each other to form that composite function. Multiple answers possible.

#### Explanation:

ƒ(x) = h(g(x))

h = $\frac{x}{x + 4}$

g = ${x}^{2}$

ƒ(x) = h(g(x))