Answer:
f^-1 (x) = 2x+20
Step-by-step explanation:
f(x) = 1/2x – 10
To find the inverse, replace f(x) with y
y = 1/2 x -10
Exchange x and y
x = 1/2 y- 10
Solve for y
Add 10 to each side
x+10 = 1/2 y-10+10
x+10 = 1/2 y
Multiply by 2
2(x+10) = 1/2y *2
2x+20 = y
The inverse is
f^-1 (x) = 2x+20
