Question

Which of the following pairs of functions are inverses of each other?

Answer 1

The answer is (B).

Explanation:

A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x =
`(y+9)/(6)`

g(x) =
`(x+9)/(6)` is inverse function of f(x) and ≠
`(x+2)/(6)` - 3

B). y = f(x) =
`(5x)/(4)` - 3 ⇔ 4y = 5x - 12 ⇔ x =
`(4y+12)/(5)`

g(x) =
`(4(x + 3))/(5)` is inverse of f(x)