Question

Given that h(x) = f(g(x)) =
`√(x + 2)` find f(x)and g(x)

Answer 1

`h(x)=f(g(x))=\sqrt[]{X+2}`

Composition of functions:

`\begin{gathered} f(x)=x \\ g(x)=a \\ \\ f(g(x))=g(x)=a \\ \\ \\ \\ \\ \\ \\ Given\colon \\ f(g(x))=\sqrt[]{x+2} \\ \\ f(g(x))=\sqrt[]{g(x)} \\ \\ \text{Then, g(x) is} \\ g\mleft(x\mright)=x+2 \\ \\ \text{And f(x) is} \\ f(x)=\sqrt[]{x} \end{gathered}`