Find $f \circ g$.
$$f ( x ) = 3 x - 2 \quad g ( x ) = x - 5$$
A) $( f \circ g ) ( x ) = 3 x - 17$
B) $( f \circ g ) ( x ) = 3 x - 7$
C) $( f \circ g ) ( x ) = 3 x ^ { 2 } - 17 x + 10$
D) $( f \circ g ) ( x ) = 2 x + 3$
E) $( f \circ g ) ( x ) = 2 x - 7$

Question

Quizplus · Accepted Answer

The composition $f \circ g$ means applying $g$ first, then $f$. So, $f(g(x)) = f(x - 5) = 3(x - 5) - 2 = 3x - 15 - 2 = 3x - 17$.

Find f∘gf \circ gf∘g f(x)=3x−2g(x)=x−5f ( x ) = 3 x - 2 \quad g ( x ) = x - 5f(x)=3x−2g(x)=x−5

Find $f \circ g$ $f ( x ) = 3 x - 2 \quad g ( x ) = x - 5$