Find all numbers for which the rational expression is not defined.
-$$\frac { 8 y - 4 } { y ^ { 2 } - 16 }$$
A) $y = \frac { 1 } { 2 }$
B) $y = 4$
C) $y = 4$ and $y = - 4$
D) $y = 16$

Question

Quizplus · Accepted Answer

The expression is undefined when the denominator is equal to zero. Thus, we solve the equation $y^2-16=0$ to find that the denominator is equal to zero when $y=4$ and $y=-4$. Therefore, choices A, B, and D are not correct because they only include one value where the expression is undefined. Choice C correctly identifies both values where the expression is undefined.

Find All Numbers for Which the Rational Expression Is Not 8y−4y2−16\frac { 8 y - 4 } { y ^ { 2 } - 16 }y2−168y−4​

Find All Numbers for Which the Rational Expression Is Not $\frac { 8 y - 4 } { y ^ { 2 } - 16 }$