Which function is the inverse of f(x) = 2x + 3?

To find the inverse of the function f(x) = 2x + 3, we need to follow a few steps:

1. Start by replacing f(x) with y:

y = 2x + 3

2. Next, swap the roles of x and y. This means we will now express x in terms of y:

x = 2y + 3

3. Now, solve for y:
1. Subtract 3 from both sides:

x - 3 = 2y

2. Then, divide by 2:

y = (x - 3) / 2

4. Finally, replace y with f^-1(x) to express the inverse function:

f-1(x) = (x - 3) / 2

Thus, the inverse function of f(x) = 2x + 3 is f^-1(x) = (x – 3) / 2.