Finding an Inverse Algebraically - Problem 6

Explanation

We know that to take the inverse of a function, we swap x and y and then solve for y. This is true for non-linear functions as well. We need to do the opposite operation to get y alone, which often includes taking a root. If the root has an even index (like square root or fourth root,) we need to look at the given domain restrictions on the original function to determine if the inverse root should be positive or negative. This comes from the idea that the square root of x^2 is actually the absolute value of x.

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find inverse algebraically