Answer:
The inverse is 5/2(x-1) +2
Step-by-step explanation:
f(x) = 2/5(x-2)+1
Rewriting
y = 2/5(x-2)+1
Exchange x and y
x = 2/5(y-2)+1
Solve for y
Subtract 1 from each side
x-1 = 2/5(y-2)+1-1
x-1 = 2/5(y-2)
Multiply each side by 5/2
5/2(x-1) = 5/2 (2/5)(y-2)
5/2(x-1) = (y-2)
Add 2 to each side
5/2(x-1) +2 = y-2+2
5/2(x-1) +2 = y
The inverse is 5/2(x-1) +2
