Given that f(x) = (4x + 3)/(6x - 4), x ≠ 2/3
Then (fof)(x) = f(f(x)) = f((4x + 3)/(6x - 4))
= (4((4x + 3)/(6x - 4)) + 3)/(6((4x + 3)/6x - 4) - 4)
= (16x + 12 + 18x - 12)/(24x + 18 - 24x + 16) = 34x/34 = x
Therefore (fof)(x) = x, for all x ≠ 2/3
Hence, the given function f is invertible and the inverse of f is itself.
