Question

If a function f has an inverse and f(1) = -3, then f-1(-3) = 1.
A) True
B) False

Answer 1

A) True

Explanation:

The ordered pair for the first expression is ...

y = f(x)

-3 = f(1)

(x, y) = (1, -3)

The ordered pair for the second expression is ...

y = f^-1(x)

1 = f^-1(-3)

(x, y) = (-3, 1)

The second ordered pair is the reverse of the first, so represents a point described by the inverse function. The statement is True.