Describe the transformations and give the equation for the graph.
-Find $\left( \frac { f } { g } \right) ( - 5 )$ when $f ( x ) = 4 x - 2$ and $g ( x ) = 5 x ^ { 2 } + 14 x + 2$
A) $- \frac { 22 } { 57 }$
B) $\frac { 5 } { 18 }$
C) $\frac { 4 } { 57 }$
D) $\frac { 5 } { 57 }$

Question

Quizplus · Accepted Answer

To find $\left( \frac { f } { g } \right) ( - 5 )$, substitute $x = -5$ into $f(x)$ and $g(x)$, then divide $f(-5)$ by $g(-5)$. For $f(x) = 4x - 2$, $f(-5) = 4(-5) - 2 = -20 - 2 = -22$. For $g(x) = 5x^2 + 14x + 2$, $g(-5) = 5(-5)^2 + 14(-5) + 2 = 125 - 70 + 2 = 57$. Thus, $\left( \frac { f } { g } \right) ( - 5 ) = \frac{-22}{57}$.

Describe the Transformations and Give the Equation for the Graph (fg)(−5)\left( \frac { f } { g } \right) ( - 5 )(gf​)(−5)

Describe the Transformations and Give the Equation for the Graph $\left( \frac { f } { g } \right) ( - 5 )$