Question

If f(12) =14 and f is one-to-one, what is f^-1(14)?

a) 12
b) 14
c) Undefined
d) Not enough information

Answer 1

If f(12) = 14 and f is one-to-one, then f^-1(14) = 12.

Step-by-step explanation:

If f(12) = 14 and f is one-to-one, then f-1(14) = 12.

Since f is one-to-one, it means that every element of the range of f corresponds to exactly one element of the domain of f and vice versa. This implies that if f(12) = 14, then f-1(14) = 12.