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}

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

• Inner Function, u=1+5x

,

• Outer Function, f(u)=³√u

Step-by-step 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}`