Respuesta :

Given:

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

Solve :

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

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

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