Question 167259

 f(x) = 2x-5/x-3

  g( x) = 3x - 2 / 1 -x 

   fog = f ( g(x) )
       = f ( 3x -2/ 1-x)
        
       = [2 (3x-2/1-x) -5]/ (3x-2/1-x)-3

       = [ 2 (3x - 2 ) - 5 (1 -x)]/ (1-x)  /[(3x - 2 ) - 3 ( 1-x )] / 1-x
        
       = (6x - 4  - 5 +5x)  /( 3x - 2 - 3 +3x)

       =    ( 11 x  - 9 ) /  (6x -5)