Answer: f⁻¹(x)=2x-6
Explanation:
To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.
y=1/2x+3 [replace y with x and x with y]
x=1/2y+3 [subtract both sides by 3]
x-3=1/2y [multiply both sides by 2]
y=2(x-3) [distribute]
y=2x-6
Now, we know the inverse function is f⁻¹(x)=2x-6.