Answer:
composite functions are
[tex]f(x)=\sqrt[3]{x}[/tex]
[tex]g(x)=x^2+2[/tex]
Step-by-step explanation:
We are given
[tex]f(x)=\sqrt[3]{x^2+2}[/tex]
Since, f(x) is composite function
[tex]f(x)=f(g(x))[/tex]
Let's assume
[tex]g(x)=x^2+2[/tex]
we can replace x^2+2 as g(x)
[tex]f(g(x)))=\sqrt[3]{g(x)}[/tex]
now, we can replace g(x) as x
[tex]f(x)=\sqrt[3]{x}[/tex]
so, composite functions are
[tex]f(x)=\sqrt[3]{x}[/tex]
[tex]g(x)=x^2+2[/tex]
