Proving Two Functions are Inverses - Problem 4

Explanation

Recall that two functions f and g are inverses if and only if f(g(x)) = g(f(x)) = x . Here we use this definition to verify that pairs of logarithmic and exponential functions are inverses. If you have access to a grapher, you could double-check this work by verifying that the graphs of the two functions are reflected across the line y = x.

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Tags
logarithmic and exponential inverses composition of functions