Find the requested value.
-$$f ( x ) = 3 x - 4 , g ( x ) = 5 x ^ { 2 } + 14 x + 2$$
Find $\left( \frac { f } { g } \right) ( - 3 )$.
A) $- \frac { 5 } { 5 }$
B) $- \frac { 13 } { 5 }$
C) $\frac { 5 } { 5 }$
D) 3

Question

Quizplus · Accepted Answer

To find $\left( \frac { f } { g } \right) ( - 3 )$, we first evaluate $f(-3)$ and $g(-3)$, then divide the results. For $f(-3) = 3(-3) - 4 = -9 - 4 = -13$, and $g(-3) = 5(-3)^2 + 14(-3) + 2 = 45 - 42 + 2 = 5$. Thus, $\left( \frac { f } { g } \right) ( - 3 ) = \frac{-13}{5}$.

Find the Requested Value f(x)=3x−4,g(x)=5x2+14x+2f ( x ) = 3 x - 4 , g ( x ) = 5 x ^ { 2 } + 14 x + 2f(x)=3x−4,g(x)=5x2+14x+2

Find the Requested Value $f ( x ) = 3 x - 4 , g ( x ) = 5 x ^ { 2 } + 14 x + 2$