What is the equation of the inverse of g (x) = 2/5x - 1

to find the inverse interchange x and y and then solve for y

y = 2/5 x-1

x = 2/5 y-1

add 1 to each side

x+1 = 2/5 y

multiply by 5/2

5/2 (x+1) = y

this is the inverse

g^-1 (x) = 5/2 (x+1)