👤

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) =

If H Is The Function Given By Hx F Gx Where Fx Squareroot Of X And Gx Sqrtx3 Then Hx class=

Answer :

Given;

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

CORRECT OPTION: D