For the pair of functions, find the indicated sum, difference, product, or quotient.
-$$f ( x ) = 9 x ^ { 2 } - 7 x , g ( x ) = x ^ { 2 } - 5 x - 14$$
Find $\left( \frac { f } { g } \right) ( x )$.
A) $\frac { 9 x } { x + 1 }$
B) $\frac { 9 x ^ { 2 } - 7 x } { x ^ { 2 } - 5 x - 14 }$
C) $\frac { 9 x - 7 } { - 5 }$
D) $\frac { 9 - x } { 14 }$

Question

Quizplus · Accepted Answer

The quotient of $f(x)$ by $g(x)$ is simply the division of the function $f(x) = 9x^2 - 7x$ by $g(x) = x^2 - 5x - 14$, which is directly represented by choice B, $\frac { 9 x ^ { 2 } - 7 x } { x ^ { 2 } - 5 x - 14 }$.

For the Pair of Functions, Find the Indicated Sum, Difference f(x)=9x2−7x,g(x)=x2−5x−14f ( x ) = 9 x ^ { 2 } - 7 x , g ( x ) = x ^ { 2 } - 5 x - 14f(x)=9x2−7x,g(x)=x2−5x−14

For the Pair of Functions, Find the Indicated Sum, Difference $f ( x ) = 9 x ^ { 2 } - 7 x , g ( x ) = x ^ { 2 } - 5 x - 14$