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Mathematics

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Let f(x) = x + 2, and g(x) = 1/xFind g(f(x))

Answer :

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The expression g(f(x)) means that we have to include the funcion f(x) inside g(x).

The given functions are

[tex]\begin{gathered} f(x)=x+2 \\ g(x)=\frac{1}{x} \end{gathered}[/tex]

Then, we find g(f(x)).

[tex]g(f(x))=\frac{1}{x+2}[/tex]

Therefore, the composite function is

[tex]g(f(x))=\frac{1}{x+2}[/tex]

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