If f (x) = 5x-6 what is the inverse of f (x)

Replace f (x) with y:

y = 5x-6

Swith the variables:

x = 5y - 6

Now solve for y:

add 6 to each side:

x + 6 = 5y

Divide both sides by 5:

y = (x+6) / 5

Now replace y with the inverse function f^-1 (x):

f^-1 (x) = (x+6) / 5