Given: A one-to-one function g with the following values-
[tex]\begin{gathered} g(-7)=1 \\ g(-4)=2 \end{gathered}[/tex]Required: To find the value of
[tex]g^{-1}(1),g^{-1}(2)[/tex]Explanation: The inverse of a function is obtained by interchanging the domain and the range of the function.
Hence the inverse of the function at x=1 and x=2 is
[tex]\begin{gathered} g^{-1}(1)=-7 \\ g^{-1}(2)=-4 \end{gathered}[/tex]Final Answer:
[tex]\begin{gathered} g^{-1}(1)=-7 \\ g^{-1}(2)=-4 \end{gathered}[/tex]