Question

Hello! Given f(x) = 5x^3 - 2x and g(x) = 3x^3, what is g(f(x))?

Answer 1

Given:

`f(x)=5x^3-2x\text{ and g\lparen x\rparen=3x}^3`

Find:

`g(f(x))`

Explanation:

`\begin{gathered} f(x)=5x^3-2x\text{ and g\lparen x\rparen=3x}^3 \\ g(f(x))=3(5x^3-2x)^3 \\ \end{gathered}`

Final answer: the required answer is

`3(5x^3-2x)^3`