Question

Use the graph to find the indicated values:line with y intercept at (0,3) and x intercept at (2,0)f(0)=AnswerIf f(x)=0 then x=?Answerf^{-1}(0)=AnswerIf f^{-1}(x)=0 then x=?Answer

Answer 1

From the graph:

$f(0)=3$

If:

$\begin{gathered} f(x)=0 \\ then \\ x=2 \end{gathered}$

For the last ones, we can use this fact:

The domain of the inverse of a function is the same as the range of the original function. Therefore:

$f^{-1}(0)=2$

If:

$\begin{gathered} f^{-1}(x)=0 \\ then \\ x=3 \end{gathered}$