Question

Which function has an inverse that is also a function?

(A) {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
(B) {(-4, 6), (-2, 2), (-1, 6), (4, 2), (11, 2)}
(C) {(-4, 5), (-2, 9), (-1, 8), (4, 8), (11, 4)}
(D) {(-4, 5), (-2, -1), (-1, 0), (4, 1), (11, 1)}

Answer 1

Option (B) {(-4, 6), (-2, 2), (-1, 6), (4, 2), (11, 2)} satisfies the condition for having an inverse that is also a function.

Step-by-step explanation:

To determine which function has an inverse that is also a function, we need to examine each function in the given options. In order for a function to have an inverse that is also a function, each input value (x) must correspond to a unique output value (y), and vice versa.

Option (B) {(-4, 6), (-2, 2), (-1, 6), (4, 2), (11, 2)} satisfies this condition, as each x-value has a unique y-value, and each y-value has a unique x-value. Therefore, option (B) has an inverse that is also a function.