Answer:
2x-8 = f^-1 (x)
0 = f^-1(4)
Step-by-step explanation:
f(x) = 1/2x +4
To find the inverse exchange x and y and solve for y
y = 1/2x +4
Exchange x and y
x = 1/2y +4
Solve for y
Subtract 4 from each side
x-4 = 1/2y +4-4
x-4 = 1/2 y
Multiply by 2
2(x-4) = 1/y*2
2x-8 = y
2x-8 = f^-1 (x)
Let x=4
2(4) -8 = f^-1(4)
8-8 = f^-1(4)
0 = f^-1(4)
