Let $f ( x ) = 3 x , g ( x ) = x + 1$. Find the composite function.
$$( g \circ g ) ( x )$$
A) $\quad ( g \circ g ) ( x ) = 9 x$
B) none of the above
C) $( g \circ g ) ( x ) = 3 x + 1$
D) $( g \circ g ) ( x ) = x + 2$
E) $\quad ( g \circ g ) ( x ) = 3 x + 3$

Question

Quizplus · Accepted Answer

$(g \circ g)(x) = g(g(x)) = g(x+1) = (x+1) + 1 = x+2$

Let f(x)=3x,g(x)=x+1f ( x ) = 3 x , g ( x ) = x + 1f(x)=3x,g(x)=x+1

Let $f ( x ) = 3 x , g ( x ) = x + 1$