Question

If g(x)=1/x and f(x)=sqrt x/x, what is g(f(4)?

Answer 1

Given the functions :

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

We need to find g(f(4))

So, at first find f(4)

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

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

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

`\begin{gathered} g\lbrack f(4)\rbrack=g((1)/(2))=(1)/((1)/(2))=2 \\ \\ so,g\lbrack f(4)\rbrack=2 \end{gathered}`