For the given functions f and g , find the indicated composition.
-$$f ( x ) = 5 x + 14 , \quad g ( x ) = 4 x - 1$$
$( f \circ g ) ( x )$
A) $20 x + 9$
B) $20 x + 19$
C) $20 x + 13$
D) $20 x + 55$

Question

Quizplus · Accepted Answer

To find $ ( f \circ g ) ( x ) $, we first evaluate $ g ( x ) $ and then substitute the result into $ f ( x ) $.$ g ( x ) = 4 x - 1 $$ ( f \circ g ) ( x ) = f ( g ( x ) ) = f ( 4 x - 1 ) $$ = 5 ( 4 x - 1 ) + 14 = 20 x + 9 $Therefore, the correct answer is A.

For the Given Functions F and G , Find the Indicated