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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
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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