Question

write the composite function in form f(g(x)). identify the inner function u=g(x) and the outer function y=f(u).y=$\sqrt[3]{1 + 5x}$

Answer 1

Answer:

• Inner Function, u=1+5x

,

• Outer Function, f(u)=³√u

Explanation:

Given the function:

$y=\sqrt[3]{1 + 5x}$

The inner function:

$u=1+5x$

The outer function:

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

Therefore, the composite function in the form f(g(x)) is:

$\begin{gathered} f(g(x))=\sqrt[3]{g(x)} \\ Where\; g(x)=1+5x \end{gathered}$