Find g^-1 (x) when g (x) = 3/5 x - 9.

5/3x - 1/9

5/3 x + 9

-3/5 x + 9

5/3 x + 15

5/3 x + 15

Step-by-step explanation:

The inverse of a function is the reflection across the line y = x. As such, algebraically it is found by switching y and x in the equation and isolating to solve for y.

g (x) = 3/5 x - 9

x = 3/5 y - 9

x + 9 = 3/5 y

5 (x+9) = 3y

(5x + 45) / 3 = y

5/3x + 15 = y