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