Answer :

Given the functions :

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

We need to find g(f(4))

So, at first find f(4)

So, substitute with x = 4 at f(x)

[tex]f(4)=\frac{\sqrt[]{4}}{4}=\frac{2}{4}=\frac{1}{2}[/tex]

Then substitute with the value of f(4) at the function g(x)

[tex]\begin{gathered} g\lbrack f(4)\rbrack=g(\frac{1}{2})=\frac{1}{\frac{1}{2}}=2 \\ \\ so,g\lbrack f(4)\rbrack=2 \end{gathered}[/tex]

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