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Mathematics 20 Online
OpenStudy (anonymous):

@UnkleRhaukus

OpenStudy (anonymous):

OpenStudy (anonymous):

The hole in the graph, if any, would be at: Select one: a. x = 3 b. x = –3 c. y = 3 d. No holes in the graph

OpenStudy (ahsome):

First, you would have to find where either \(x\) or \(y\) is a complex number. You can do that by substituting either:\[x=3\]\[x=-3\]\[y=3\] And see which gives a complex number

OpenStudy (ahsome):

I'll help for one: \(x=3\) Equation: \[y=\frac{4x^2+12x}{x^2-x+6}\] Substitute \(x\)\[y=\frac{4*3^2+12*3}{3^2-3+6}\] \[y=\frac{36+36}{9-3+6}\]\[y=\frac{72}{12}\]\[y=6\] Since \(y\) is a positive number in that equation, there is no hole at point (3,6) Just keep trying for all possible combinations

OpenStudy (ahsome):

I think that is how you are meant to solve it

OpenStudy (anonymous):

so whats the answer

OpenStudy (ahsome):

I have been told I can only tell you how to do it, not what the answer is. Sorry

OpenStudy (ahsome):

^^ That ^^

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

@Ahsome

OpenStudy (anonymous):

i got -9

OpenStudy (anonymous):

so b-3

OpenStudy (anonymous):

?? ami correct

OpenStudy (unklerhaukus):

when is the denominator zero? can you factor the denominator?

OpenStudy (anonymous):

was i correct or not

OpenStudy (anonymous):

and i did factor the bottom

OpenStudy (unklerhaukus):

when x= -9, the denominator becomes -9^2+-9-6 =-81-9-6 =-96 but you want to find =0 What did you get when you factored the denominator?

OpenStudy (anonymous):

when i plugged in -3?

OpenStudy (unklerhaukus):

(-3)^2+-3-6 = 9-3-6 =0

OpenStudy (anonymous):

so i was right the answer is B

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