Find the inverse function of

Question

f(x) = (7x-8)/(3x -1).

Answer 1

switch your x and y like
original : y=(7x-8)/(x-1)
to: x=(7y-8)/(y-1) and solve for y.

so: xy-1=7y-8=> xy-7y=-7=> y(x-7)=-7
=> y=-7/(x-7)

Answer 2

x = (7y-8)/(3y-1)
x(3y-1) = 7y-8
3xy-x = 7y-8
y(3x-7) = x-8
y = (x-8)/(3x-7)