Find the inverse function: f(x) = (4x - 3) / 5

Answer

To find the inverse function, follow these steps: 1. Replace f(x) with y: y = (4x - 3) / 5. 2. Swap the variables x and y to begin finding the inverse: x = (4y - 3) / 5. 3. Solve for y: First, multiply both sides by 5 to get 5x = 4y - 3. Next, add 3 to both sides: 5x + 3 = 4y. Finally, divide by 4 to isolate y: y = (5x + 3) / 4. 4. Replace y with the inverse function notation: f^-1(x) = (5x + 3) / 4.