Question

Write the given function as the composite of two functions, neither of which is the identity function f(x)=x

Answer 1

Answer:

composite functions are

$f(x)=\sqrt[3]{x}$

$g(x)=x^2+2$

Step-by-step explanation:

We are given

$f(x)=\sqrt[3]{x^2+2}$

Since, f(x) is composite function

$f(x)=f(g(x))$

Let's assume

$g(x)=x^2+2$

we can replace x^2+2 as g(x)

$f(g(x)))=\sqrt[3]{g(x)}$

now, we can replace g(x) as x

$f(x)=\sqrt[3]{x}$

so, composite functions are

$f(x)=\sqrt[3]{x}$

$g(x)=x^2+2$