Explanation: To get the inverse of a function, we will follow these steps: 1- replace f(x) with y 2- swap the x and y variables 3- solve for y replace y with f⁻¹(x)
Applying this to the given as follows: f(x) = 7x - 6
Step 1: replace f(x) with y: y = 7x - 6
Step 2: swap the x and y variables: x = 7y - 6
Step 3: solve for y: 7y = x + 6 y = [tex] \frac{x+6}{7} [/tex]
Step 4: replace y with f⁻¹(x): f⁻¹(x) = [tex] \frac{x+6}{7} [/tex]
