Question

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

Answer 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)