Question

If h is the function given by h(x) = (f • g)(x) where f(x) = squareroot of x and g(x) =(sqrtx)^3, then h(x) =

Answer 1

Given;

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

CORRECT OPTION: D