Finding an Inverse Algebraically - Problem 7 110 views

We must treat inverses of odd powers differently than inverses of even powers because of differences in the plus/minus signs. Here we look at taking the inverse of even power functions by first switching x and y, then undoing any operations to isolate the power, then doing the opposite root, rationalizing the denominator, and simplifying. When you introduce an even root, you need to include a +/ - sign to address the absolute value of x. The given domain restriction will help you determine whether it should be positive or negative in the end. Don't forget that you can check your work using composition of functions!

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