For the given functions f and g , find the indicated composition.
-$$f ( x ) = 15 x ^ { 2 } - 10 x , \quad g ( x ) = 12 x - 5$$
$( f \circ g ) ( 2 )$
A) 5225
B) 475
C) 4750
D) 760

Question

Quizplus · Accepted Answer

To find $(f \circ g)(2)$, first apply $g$ to $2$, then apply $f$ to the result of $g(2)$. $g(2) = 12(2) - 5 = 24 - 5 = 19$. Then, $f(19) = 15(19)^2 - 10(19) = 15(361) - 190 = 5415 - 190 = 5225$.

For the Given Functions F and G , Find the Indicated