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Find (f o g)(1) for the following functions. Round your answer to two decimal places, if necessary.

Find (f o g)(1) for the following functions. Round your answer to two decimal places-example-1
User Kodra
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1 Answer

4 votes

By definition:


(f\circ g)(x)

It is a Function Compositon. It means that you must substitute the function g(x) into the function f(x).

For this case:


\begin{gathered} f(x)=2+\sqrt[]{x} \\ g(x)=\sqrt[]{x+24} \end{gathered}

Substitute the function g(x) into the function f(x):


(f\circ g)(x)=2+\sqrt[]{\sqrt[]{x+24}}

Simplify:


(f\circ g)(x)=2+\sqrt[4]{x+24}

Now, substitute this value into the Composite function and evaluate:


x=1

You get:


\begin{gathered} (f\circ g)(1)=2+\sqrt[4]{1+24} \\ (f\circ g)(1)=2+\sqrt[4]{25} \\ (f\circ g)(1)=2+\sqrt[4]{5^2} \\ (f\circ g)(1)=2+\sqrt[]{5} \end{gathered}

User Martin Massera
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