1) replace "f(x)" with "y:"
y = 7 / (6x -5)
2) Interchange "x" and "y:"
x = 7 / (6y - 5)
3) Solve this new equation for y:
x(6y - 5) = 7, or 6xy - 5x = 7, or 6xy = 7 + 5x.
7+5x
Then y = ------------
6x
-1
4) Replace y with " f (x)."
-1 7+5x
f (x) = ----------- (answer)
6x