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H(x)=√(x+7). Find f and g so that h=f o g

H(x)=√(x+7). Find f and g so that h=f o g-example-1

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5 votes

Answer:

(D) f(x)=√x, g(x)=x+7

Step-by-step explanation:

Given the functions:


\begin{gathered} f(x)=\sqrt[]{x} \\ g(x)=x+7 \end{gathered}

The composite function h(x)=(f o g)(x) is:


\begin{gathered} h(x)=(f\circ g)(x) \\ =f(g(x)) \\ =\sqrt[]{g(x)} \\ =\sqrt[]{x+7} \end{gathered}

The correct choice is D.

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