Final answer:
To find the inverse of the function f(x) = 2x + 3, swap x and y variables and solve for y. The inverse function is f^(-1)(x) = (x - 3) / 2.
Step-by-step explanation:
To find the inverse of a function, we swap the x and y variables and solve for y. Starting with the function f(x) = 2x + 3, we can write it as y = 2x + 3. Now, we swap x and y to get x = 2y + 3. Rearranging the equation to solve for y, we have y = (x - 3) / 2. Therefore, the inverse function of f(x) = 2x + 3 is f^(-1)(x) = (x - 3) / 2.