Question 551155: State the poles of the following rational function
h(x) = x-1 divided by x squared + x-6
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! A pole is any value of x that makes the denominator equal to zero.
The term "pole" comes from complex analysis, where, if you do magnitude plots of complex-valued functions, at places where the denominator is zero the graphed surface really does look like a tent pole beneath fabric.
Set denominator to = 0.
x - 6 = 0
x = 6
To avoid division by zero, x CANNOT = 6. When x = 6 in your function, division by zero is created which is undefined.
In fact, the correct answer is x > 6. The value of x must be GREATER than 6 to avoid division by zero.
So, x = 6 is your pole.
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