Step 1:

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The function is $\"\"$

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The domain of the function is $\"\"$ .

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Consider $\"\"$

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Find the inverse function.

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$\"\"$

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Interchange the variables $\"image\"$ and $\"image\"$ .

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$\"\"$

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Above function is in the form $\"\"$ , where $\"\"$

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The inverse function is $\"\"$ .

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Step 2:

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Find the range of function.

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$\"\"$ .

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$\"\"$

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The range of $\"\"$ lies in $\"\"$ .

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Also, the range of $\"\"$ lies in $\"\"$ .

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$\"\"$

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The range of $\"\"$ is $\"\"$ .

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The range of $\"\"$ is equal to the domain of $\"\"$ .

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The domain of $\"\"$ is $\"\"$ .

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Step 3:

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The inverse function is $\"\"$ .

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The domain of $\"\"$ is $\"\"$ .

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The domain of $\"\"$ is equal to the range of $\"\"$ .

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The range of $\"\"$ is $\"\"$ .

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Solution:

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The inverse function is $\"\"$ .

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The range of $\"\"$ is $\"\"$ .

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The domain of $\"\"$ is $\"\"$ .

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The range of $\"\"$ is $\"\"$ .

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