If f is a one-to-one function and f(0) = 3, f(1) = 1, and f(2) = 2, find the following.

Question

(a) f^-1(1)

f^-1(1)=?

(b) f^-1(2)

f^-1(2)=?

Show your work

Answer 1

Since f is a one to one function, that means that its inverse exists. We note that f^-1(f(x)) = x by definition, and so we conclude that

f^-1(1) = 1, f^-1(2) = 2