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

Hello! Given f(x) = 5x^3 - 2x and g(x) = 3x^3, what is g(f(x))?
asked 8.1k views
1 vote
Hello! Given f(x) = 5x^3 - 2x and g(x) = 3x^3, what is g(f(x))?

asked
User Grandizer
by
7.4k points

1 Answer

4 votes

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

answered
User Zmx
by
7.9k points
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