Find the requested value.
-$$f ( x ) = - 4 x - 1 , g ( x ) = 4 x ^ { 2 } - 5 x + 5$$
Find $\left( \frac { f } { g } \right) ( 2 )$.
A) $- \frac { 9 } { 11 }$
B) $- 9$
C) $\frac { 9 } { 11 }$
D) $- \frac { 7 } { 11 }$

Question

Quizplus · Accepted Answer

To find $\left( \frac { f } { g } \right) ( 2 )$, first evaluate $f(2)$ and $g(2)$, then divide $f(2)$ by $g(2)$. $f(2) = -4(2) - 1 = -9$, $g(2) = 4(2)^2 - 5(2) + 5 = 16 - 10 + 5 = 11$. Thus, $\left( \frac { f } { g } \right) ( 2 ) = \frac{-9}{11} = - \frac { 9 } { 11 }$.

Find the Requested Value f(x)=−4x−1,g(x)=4x2−5x+5f ( x ) = - 4 x - 1 , g ( x ) = 4 x ^ { 2 } - 5 x + 5f(x)=−4x−1,g(x)=4x2−5x+5

Find the Requested Value $f ( x ) = - 4 x - 1 , g ( x ) = 4 x ^ { 2 } - 5 x + 5$