Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other.

Question

Revolt · Accepted Answer

Using the law of logarithms blogbn = , we have that f(g(x)) = .:

n

Using the law of logarithms blogbn = , we have that f(g(x)) = .:

x

We also need to show that is also equal to x.:

g(f(x))

Using the law of logarithms logbbn = , which means that g(f(x)) = x.:

n

Inverse of a Function