Given f(x), find g(x) and h(x) such that f(x)= g(h(x)) and neither g(x) nor h(x) is solely x.

asked Jul 18, 2023 12.9k views

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4 votes

Given:

$\begin{gathered} f(x)=g(h(x)) \\ f(x)=\sqrt[]{-4x^2-3}+2 \end{gathered}$

Solve :

$g(h(x)=\sqrt[]{-4x^2-3}+2$

The function g(x) convert then x is equal to h(x) then:

$\begin{gathered} h(x)=-4x^2 \\ g(x)=\sqrt[]{x-3}+2 \end{gathered}$

Mir Mahfuz answered Jul 24, 2023

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