For the given functions f and g, find the requested composite function value.
-$f ( x ) = \left| 20 x ^ { 2 } - 4 x \right| , \quad g ( x ) = 12 x - 4 ; \quad$ Find $( f \circ g ) ( 4 )$.
A) 34,900
B) 38,544
C) 3,644
D) 13,376

Question

Quizplus · Accepted Answer

First, find $g(4) = 12(4) - 4 = 48 - 4 = 44$. Then, substitute $g(4) = 44$ into $f(x)$ to get $f(g(4)) = f(44) = |20(44)^2 - 4(44)| = |20(1936) - 176| = |38720 - 176| = 38544$.

For the Given Functions F and G, Find the Requested f(x)=∣20x2−4x∣,g(x)=12x−4;f ( x ) = \left| 20 x ^ { 2 } - 4 x \right| , \quad g ( x ) = 12 x - 4 ; \quadf(x)=​20x2−4x​,g(x)=12x−4;

For the Given Functions F and G, Find the Requested $f ( x ) = \left| 20 x ^ { 2 } - 4 x \right| , \quad g ( x ) = 12 x - 4 ; \quad$