Question

What is the inverse of the function

Answer 1

Its the first choice.

Explanation:

f(x) = 3^(x-1)

log₃ f(x) = (x-1)log₃ 3 log₃ 3 = 1 , so:-

log₃ f(x) = x - 1

x = log₃ f(x) + 1 Replace x by f-1(x) and f(x) by x, so:-

f-1(x) = log₃ x + 1