The question asks us to perform the inverse of two functions.
To solve this question, we need to understand how the inverse of a function works.
The inverse of a function is defined thus:
[tex]\begin{gathered} \text{if }f(x)=y \\ x=f^{-1}(y) \end{gathered}[/tex]
With this definition, we can solve the questions.
Question 1:
[tex]\begin{gathered} f(3)=2 \\ \therefore f^{-1}(2)=3_{} \end{gathered}[/tex]
Question 2:
[tex]\begin{gathered} f^{-1}(-2)=-1_{} \\ \\ \therefore f(-1)=-2 \end{gathered}[/tex]
Thus, the answers are
[tex]\begin{gathered} \text{Question 1:} \\ f^{-1}(2)=3 \\ \\ \text{Question 2:} \\ f(-1)=-2 \end{gathered}[/tex]
