Final answer:
The inverse of the function is 2x - 4.
Step-by-step explanation:
To find the inverse of the function f(x) = (1/2)x + 2, we need to interchange the roles of x and y and solve for y.
Step 1: Replace f(x) with y:
y = (1/2)x + 2.
Step 2: Interchange x and y:
x = (1/2)y + 2.
Step 3: Solve for y:
Multiply both sides of the equation by 2 and isolate y to one side:
2x = y + 4
=> y = 2x - 4.
Therefore, the inverse of f(x) = (1/2)x + 2 is f^(-1)(x) = 2x - 4.