Question

if f(x) = x+1/ x-2, g(x) = 1+2x/ x-1 then fog (x) is​

Answer 1

Answer:

f(x) = x+1/ x-2, g(x) = 1+2x/ x-1

fog (x)  = f ( g ( x )

          = f (  1+2x/ x-1 )

          = {( 1+2x/ x-1 ) + 1 }  / { (1+2x/ x-1 ) - 2 }

          = {(1 + 2x + x -1 )/ (x-1) } / {(1 + 2x  - 2(x -1 ) ) / (x-1) }

          = 3x / (1 + 2x - 2x + 2)

          = 3x / 3

          = x ( answer )

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