Question

Complete the data table for the function f(x) = VX-5 - 1

Answer 1

Given the function:

`f(x)=\sqrt[]{x-5}-1`

We can complete the table if we make y = f(x) and evaluate each value of x on the function like this:

`\begin{gathered} y=f(5)=\sqrt[]{5-5}-1=\sqrt[]{0}-1=-1 \\ y=-1 \end{gathered}`

then, for the rest of the values we have:

`\begin{gathered} f(6)=\sqrt[]{6-5}-1=\sqrt[]{1}-1=1-1=0 \\ f(9)=\sqrt[]{9-5}-1=\sqrt[]{4}-1=2-1=1 \\ f(14)=\sqrt[]{14-5}-1=\sqrt[]{9}-1=3-1=2 \end{gathered}`