@UnkleRhaukus
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
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
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
I think that is how you are meant to solve it
so whats the answer
I have been told I can only tell you how to do it, not what the answer is. Sorry
^^ That ^^
@ganeshie8
@Ahsome
i got -9
so b-3
?? ami correct
when is the denominator zero? can you factor the denominator?
was i correct or not
and i did factor the bottom
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?
when i plugged in -3?
(-3)^2+-3-6 = 9-3-6 =0
so i was right the answer is B
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