What is the inverse of f (x) = 4x-3/2

f (x) = 4x - 3/2

To do the inverse function you just need to call f (x) y and put everything of x side in the other

y = 4x - 3/2

y + 3/2 = 4x

x = (y + 3/2) / 4

x = y/4 + 3/8

Now just switch x and y

y = x/4 + 3/8

So f (x) ^-1 = x/4 + 3/8