Questions: Question 20 2 pt A graph of f(x) is given. Find the domain and range for f^(-1)(x). Domain of the inverse of f(x). [ Choose ] Range of the inverse of f(x). [ Choose ]

Question 20 2 pt A graph of f(x) is given. Find the domain and range for f^(-1)(x). Domain of the inverse of f(x). [ Choose ] Range of the inverse of f(x). [ Choose ]
Transcript text: Question 20 2 pt A graph of $f(x)$ is given. Find the domain and range for $f^{-1}(x)$. Domain of the inverse of $f(x)$. [ Choose ] Range of the inverse of $\mathrm{f}(\mathrm{x})$. [ Choose ]
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Solution

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Solution Steps

Step 1: Find the Domain and Range of $f(x)$

The domain of $f(x)$ is $[-7, 2]$ and the range of $f(x)$ is $[-3, 6]$.

Step 2: Find the Domain and Range of $f^{-1}(x)$

The domain of the inverse function $f^{-1}(x)$ is the range of the original function $f(x)$. Thus, the domain of $f^{-1}(x)$ is $[-3, 6]$.

The range of the inverse function $f^{-1}(x)$ is the domain of the original function $f(x)$. Thus, the range of $f^{-1}(x)$ is $[-7, 2]$.

Final Answer:

Domain of $f^{-1}(x)$: $[-3, 6]$ Range of $f^{-1}(x)$: $[-7, 2]$

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