Question

Suppose f is a one-to-one function. Explain why the inverse of the inverse of f equals f. In other words, explain why (f^-1)^-1 = f

Answer 1

y = f(x)
the inverse can be found by solving for x
f^-1(x) --> x = f(y)
the inverse of the inverse means you repeat the process and solve for y
(f^-1)^-1(x) --> y=f(x)