Finding an Inverse Algebraically - Problem 4 133 views

We must treat inverses of odd powers differently than inverses of even powers because of differences in the plus/minus signs. Recall that an odd root of a negative value does exist! (Like, the cube root of negative 8 is negative 2). Here we look at taking the inverse of odd 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. Don't forget that you can check your work using composition of functions!

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