Question

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

Answer 1

Answer:

The answer is (B).

Step-by-step explanation:

A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = $\frac{y+9}{6}$

g(x) = $\frac{x+9}{6}$ is inverse function of f(x) and ≠ $\frac{x+2}{6}$ - 3

B). y = f(x) = $\frac{5x}{4}$ - 3 ⇔ 4y = 5x - 12 ⇔ x = $\frac{4y+12}{5}$  

g(x) = $\frac{4(x + 3)}{5}$ is inverse of f(x)