Find the inverse of f(x)=3x+4/5

I will assume you meant

f(x) = (3x+4)/5
or
y = (3x+4)/5

step1: interchange the x and y variables
x = (3y+4)/5
step2: solve this inverse equation for y
5x = 3y + 4
3y = 5x - 4
y = (5x-4)/3

f^-1 (x) = (5x-4)/3