Given the function f(x) = log3 (x + 1), determine f^−1(2).

Given:  f(x) = log3 (x + 1), look for f^-1 (2)

We are looking for the inverse of a function. The inverse of the function can be obtained by switching the variables and obtaining the values of the new function, before substituting f(2). Using a calculator:

f^-1 (2) = 8