Answer:
5/2(x-3)
Step-by-step explanation:
g(x) = 2/5 x + 3
y = 2/5x +3
Exchange x and y
x = 2/5y +3
Solve for y
Subtract 3 from each side
x-3 = 2/5y +3-3
x -3 = 2/5y
Multiply each side by 5/2
5/2(x-3) = 5/2(2/5)y
5/2(x-3) = y
The inverse is 5/2(x-3)