Find the inverse function of f(x) = 5 / (x - 4)

To find the inverse of a function you follow 3 steps.Replace f (x) with x and any x variables with y Rearrange this equation into the form y = x variablesReplace the y with f ^-1 (x) and you have your answer
Solution:f (x) = 5 / (x - 4) x = 5 / (y - 4) x ( y - 4) = 5xy - 4x = 5xy = 5 + 4xy = (5 + 4x) / xf ^-1 (x) = (5 + 4x) / x