For the pair of functions, find the indicated sum, difference, product, or quotient.
-$f ( x ) = x ^ { 2 } - 1 , g ( x ) = 9 x + 1$
Find $( f / g ) \left( - \frac { 1 } { 9 } \right)$
A) $\frac { 1 } { 2 }$
B) 0
C) does not exist
D) $- \frac { 2 } { 3 }$

Question

Quizplus · Accepted Answer

The quotient $(f/g)(x)$ involves dividing the function $f(x)$ by $g(x)$. When $x = -\frac{1}{9}$, $g(x) = 9(-\frac{1}{9}) + 1 = 0$. Since division by zero is undefined, the quotient does not exist.

For the Pair of Functions, Find the Indicated Sum, Difference f(x)=x2−1,g(x)=9x+1f ( x ) = x ^ { 2 } - 1 , g ( x ) = 9 x + 1f(x)=x2−1,g(x)=9x+1

For the Pair of Functions, Find the Indicated Sum, Difference $f ( x ) = x ^ { 2 } - 1 , g ( x ) = 9 x + 1$