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GA-GSE Pre-Calculus
Inverse of a Function
Question 166127
166127
Assignment
Multiple Dropdowns
Inverse of a Function
Question 166127 • GA-GSE Pre-Calculus
Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other.
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
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