Question

Use the table to evaluate the expressions:f(3) =f(8) =f-1(5) =f-1(12) =

Answer 1

ANSWER

$\begin{gathered} f(3)=3 \\ f(8)=8 \\ f^{-1}(5)=5 \\ f^{-1}(12)=2 \end{gathered}$

EXPLANATION

To identify the value of a function at a certain value of x, check the table for the value of f(x) that corresponds to the given value of x.

This means that:

$\begin{gathered} f(3)=3 \\ f(8)=8 \end{gathered}$

To find the value of an inverse function of f(x), we have to note that the domain of a function is equal to the range of its inverse and the range of a function is equal to the domain of its inverse.

This means that the value of the inverse function of f is actually the value of x at the value of f(x).

This means that:

$\begin{gathered} f^{-1}(5)=5 \\ f^{-1}(12)=2 \end{gathered}$