Problem

Consider the function $g$, which is a one-to-one function with values $g(9)=-4$ and $g(-2)=-1$. Which of the following must be true? Select all correct answers. Select all that apply: $g^{-1}(-1)=9$ $g^{-1}(-2)=1$ $g^{-1}(9)=4$ $g^{-1}(-1)=-2$ $g^{-1}(-4)=9$ $g^{-1}(-4)=-1$ Next.

Solution

Step 1 :Consider the function $g$, which is a one-to-one function with values $g(9)=-4$ and $g(-2)=-1$.

Step 2 :The inverse function $g^{-1}$ will reverse these mappings, so $g^{-1}(-4) = 9$ and $g^{-1}(-1) = -2$.

Step 3 :Therefore, the correct answers are $g^{-1}(-4) = 9$ and $g^{-1}(-1) = -2$.

Step 4 :Final Answer: \(\boxed{g^{-1}(-4) = 9, g^{-1}(-1) = -2}\)

From Solvely APP
Source: https://solvelyapp.com/problems/wDhb2qh3xE/

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