Step 1:

The functions are .

Find inverse function of .

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Change to .

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Interchange and .

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Solve for .

Squaring on each side. 

Change to .

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Step 2 :

Find the domain and range of inverse function.

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The domain of a function is all values of , those makes the function mathematically correct.

As the inverse function is a polynomial, domain of a function is all real numbers.

Range of the function is is .

Domain of is .

Range of  function is corresponding values of the function for different values of .

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Outcome results of the above function is always positive since it contains squaring term.

Thus, the range of the inverse function is .

Solution:

Inverse of the function is .

Domain of is .

Range of the inverse function is .