Question

What is (f * g * h)(x) Refer the the image below.

Answer 1

`\bf \begin{cases} f(x)=√(x+7)\\ g(x)=4x\\ h(x)=x^2\\ (f\circ g\circ h)(x)=f(~~g(~~h(x)~~)~~) \end{cases}\\\\ -------------------------------\\\\ g(~~h(x)~~)=4\boxed{h(x)}\implies g(~~h(x)~~)=4\boxed{x^2} \\\\\\ f(~~g(~~h(x)~~)~~)=\sqrt{\boxed{g(~~h(x)~~)}+7} \\\\\\ f(~~g(~~h(x)~~)~~)=\sqrt{\boxed{4x^2}+7}`