What is the inverse of f (x) = 9x-8

f^-1 (x) = (x + 8) / 9

Step-by-step explanation:

Step 1: Set y to x and x to y

y = 9x - 8

x = 9y - 8

Step 2: Solve for y

x + 8 = 9y - 8 + 8

(x + 8) / 9 = 9y / 9

(x + 8) / 9 = y

Step 3: Rename y to f^-1 (x)

f^-1 (x) = (x + 8) / 9

Answer: f^-1 (x) = (x + 8) / 9