Question 469417
Let {{{y = (4x-5)/(7x-9)}}}

Solve for x in terms of y.

==> 7yx - 9y = 4x - 5
==> 7yx - 4x = 9y - 5
==> (7y - 4)x = 9y - 5
==> {{{x = (9y - 5)/(7y - 4)}}}

Interchange x and y:

==> {{{y = (9x - 5)/(7x - 4)}}}

Hence ==> {{{f^(-1)(x )= (9x - 5)/(7x - 4)}}}