Given the function f(x) = 7x – 5, we want to find its inverse.

Step 1: Start with the equation y = 7x – 5.

Step 2: Swap x and y: x = 7y – 5.

Step 3: Solve for y:

7y = x + 5

y = (x + 5) / 7

Final Result: The inverse function is f⁻¹(x) = (x + 5) / 7.

Given the function y = mx + b, we want to find its inverse.

Step 1: Start with the equation y = mx + b.

Step 2: Swap x and y: x = my + b.

Step 3: Solve for y:

Subtract b: x – b = my

Divide by m: y = (x – b) / m

Final Result: The inverse function is f⁻¹(x) = (x – b) / m.