To find the inverse function of f(x) = (1/2)x + 7, we can follow these steps:
Step 1: Replace f(x) with y. This gives us:
y = (1/2)x + 7
Step 2: Swap the x and y variables to obtain:
x = (1/2)y + 7
Step 3: Solve for y in terms of x:
x - 7 = (1/2)y
2(x - 7) = y
Step 4: Replace y with f^(-1)(x) to obtain the inverse function:
f^(-1)(x) = 2(x - 7)
Therefore, the inverse function of f(x) = (1/2)x + 7 is f^(-1)(x) = 2(x - 7).