SOLUTION: Determine the values of x for any holes in the graph of f(x)= x + 3/ x^2 + 5x + 6

Question 324657: Determine the values of x for any holes in the graph of f(x)= x + 3/ x^2 + 5x + 6
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Holes or discontinuities occur when the denominator equals zero.
Some are removable depending on the numerator.
Factor the denominator first.

Since numerator and denominator share the factor , the discontinuity is removable.
The only remaining discontinuity occurs when or .
Below is a graph of the original function showing the one discontinuity.
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