Inverse of a Function Answers

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166115

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

Answers:
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
166116

✔ x10xlog(x)log(10x)

A
✔ x
B
10x
C
log(x)
D
log(10x)
166117

f(g(–x))(f + g)(x)(g – f)(x)✔ g(f(x))

A
f(g(–x))
B
(f + g)(x)
C
(g – f)(x)
D
✔ g(f(x))
166118

b✔ nlog(b)log(n)

A
b
B
✔ n
C
log(b)
D
log(n)

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