What is the inverse of the logarithmic function f(x) = log9x?
Answer
A
f –1(x) = x9
B
f –1(x) = –log9x
C
f –1(x) = 9x
D
f –1(x) =
Explanation
Let y = log₉x. To find the inverse, switch x and y: x = log₉y. Rewrite this in exponential form to get y = 9ˣ. Therefore, the inverse is f⁻¹(x) = 9ˣ, choice C.
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