Inverse of a Function

Question 1

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

Revolt · Accepted Answer

✔ n; 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

Question 2

✔ x10xlog(x)log(10x)

Revolt · Accepted Answer

✔ x

Question 3

f(g(–x))(f + g)(x)(g – f)(x)✔ g(f(x))

Revolt · Accepted Answer

✔ g(f(x))

Question 4

b✔ nlog(b)log(n)

Revolt · Accepted Answer

✔ n

Inverse of a Function Answers

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