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(4x^3+20)^2 and g(x)=4x^3+20 Given that f(x)= (h g)(x), find h(x).

User Fernando Santagata
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1 Answer

14 votes
14 votes

We know that:


f(x)=(4x^3+20)^2
g(x)=4x^3+20

and that:


f(x)=g(x)h(x)

pluggign the values we are given we get:


\begin{gathered} (4x^3+20)=(4x^3+20)h(x) \\ h(x)=((4x^3+20)^2)/(4x^3+20) \\ h(x)=4x^3+20 \end{gathered}

Therefore:


h(x)=4x^3+20

User RN Kushwaha
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2.8k points