SOLUTION: Find the composite function of f(g(x)) when f(x)=2x-5/x-3 g(x)=3x-2/1-x

Algebra ->  Functions -> SOLUTION: Find the composite function of f(g(x)) when f(x)=2x-5/x-3 g(x)=3x-2/1-x      Log On


   

Question 167259: Find the composite function of f(g(x)) when f(x)=2x-5/x-3 g(x)=3x-2/1-x
Answer by aswathytony(47) About Me  (Show Source):
You can put this solution on YOUR website!

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)