27
AssignmentMultiple Dropdowns

Inverse of a Function

Question 27 • GA-GSE Pre-Calculus

Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x Using the law of logarithms blogbn = , we have that f(g(x)) = . We also need to show that is also equal to x. g(f(x)) = log10(10x) Using the law of logarithms logbbn = , which means that g(f(x)) = x. Therefore, f and g are inverses of each other.

Answer
Selection 1:

n

Selection 2:

x

Selection 3:

g(f(x))

Selection 4:

n

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