Question

Suppose g is a one-to-one function with the following values

Answer 1

Given: A one-to-one function g with the following values-

`\begin{gathered} g(-7)=1 \\ g(-4)=2 \end{gathered}`

Required: To find the value of

`g^(-1)(1),g^(-1)(2)`

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

`\begin{gathered} g^(-1)(1)=-7 \\ g^(-1)(2)=-4 \end{gathered}`

Final Answer:

`\begin{gathered} g^(-1)(1)=-7 \\ g^(-1)(2)=-4 \end{gathered}`