Describe the transformations and give the equation for the graph.
-Find $\left( \frac { f } { g } \right) ( - 4 )$ when $f ( x ) = 4 x - 3$ and $g ( x ) = 2 x ^ { 2 } + 14 x + 4$
A) $\frac { 19 } { 20 }$
B) $- \frac { 1 } { 10 }$
C) $- \frac { 1 } { 5 }$
D) $\frac { 2 } { 13 }$

Question

Quizplus · Accepted Answer

To find $\left( \frac { f } { g } \right) ( - 4 )$, substitute $x = -4$ into both $f(x)$ and $g(x)$, then divide $f(-4)$ by $g(-4)$. For $f(x) = 4x - 3$, $f(-4) = 4(-4) - 3 = -16 - 3 = -19$. For $g(x) = 2x^2 + 14x + 4$, $g(-4) = 2(-4)^2 + 14(-4) + 4 = 32 - 56 + 4 = -20$. Thus, $\left( \frac { f } { g } \right) ( - 4 ) = \frac{-19}{-20} = \frac{19}{20}$.

Describe the Transformations and Give the Equation for the Graph (fg)(−4)\left( \frac { f } { g } \right) ( - 4 )(gf​)(−4)

Describe the Transformations and Give the Equation for the Graph $\left( \frac { f } { g } \right) ( - 4 )$