Question

If f(x)=2x+1 and g(x)=x-3, find f(g(f(x)))

Answer 1

F( g( f(x) ) ) = f( g( 2x+1 ) )
 
                 = f( 2x+1 -3 )

                 = f( 2x-2 )

                 = 2(2x-2) +1

                 = 4x -4 + 1

                 = 4x -3

Answer 2

Answer:

$g(f(x)) = (2x + 1) - 3 \\ = 2x + 1 - 3 \\ = 2x - 2 \\ \\ f(g(f(x))) = 2(2x - 2) + 1 \\ = 4x - 4 + 1 \\ = 4x - 3$

I hope I helped you^_^