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.

Answer

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Answer

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

Steps

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