What is the hole in the graph of this rational expression?? Please correct my answer/ check my answer

Question

$(x^2-4)/((x+2)(x^2-49)$
The numerator is in parenthesis
My answer: $-4/5$ or $-4/9$ or $-4/(5(9)$

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Answer 1 · 2018-04-14T03:34:02

The hole in the graph occurs when $x=-2$

The hole in a rational function is created when a factor in the numerator and denominator are the same.

$(x^2-4)/((x+2)(x^2-49)) " "$ Factor to get

$((x-2)(x+2))/((x+2)(x-7)(x+7)) " "$ The factor $(x+2)$ will cancel.

This means the hole will occur when $x+2=0$ or $x=-2$