Question

For which pairs of functions is..?

Answer 1

`f(x)=3-4x;\ g(x)=16x-3\\\\(f\circ g)(x)=(3-4x)(16x-3)=48x-9-64x^2+12x\\eq12x\\\\f(x)=6x^2;\ g(x)=(2)/(x)\\\\(f\circ g)(x)=6x^2\cdot(2)/(x)=6x\cdot(2)/(1)=12x\ \ BINGO\ ;)\\\\f(x)=√(x);\ g(x)=144x\\\\(f\circ g)(x)=√(x)\cdot144x=144x√(x)\\eq12x\\\\f(x)=4x;\ g(x)=3x\\\\(f\circ g)(x)=4x\cdot3x=12x^2\\eq12x\\\\Answer:\boxed{f(x)=6x^2\ and\ g(x)=(2)/(x)}`