KirraC10400 KirraC10400
  • 03-11-2022
  • Mathematics
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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=

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McallisterG790805 McallisterG790805
  • 03-11-2022

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

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