Answer:
f^-1(x) = 5/2 x + 5
Step-by-step explanation:
To find the inverse function, exchange x and y and solve for y
y = 2/5 x -2
Exchange x and y
x = 2/5 y -2
Solve for y
Add 2 to each side
x+2 =2/5y-2+2
x+2 = 2/5 y
Multiply by 5/2 to isolate y
5/2(x+2) = 2/5 y * 5/2
5/2 (x+2) = y
5/2 x + 5 =y
