To find the inverse of the function y = 4x + 5, you'll need to swap the roles of x and y and then solve for the new y. Here's the process:
1. Start with the original function:
y = 4x + 5
2. Swap x and y:
x = 4y + 5
3. Solve for y:
x - 5 = 4y
4. Divide both sides by 4 to isolate y:
(x - 5)/4 = y
So, the inverse of the function y = 4x + 5 is y = (x - 5)/4.