anonymous
  • anonymous
The graph of this function has a hole in it. What is the x-coordinate of that hole? (7x^2+63x)/(x^2+5x-36)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Luigi0210
  • Luigi0210
factor the top and bottom
anonymous
  • anonymous
The graph of this function has a hole in it. What is the x-coordinate of that hole?
mathstudent55
  • mathstudent55
Set the denominator equal to zero and solve for x.

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mathstudent55
  • mathstudent55
Actually, follow @Luigi0210 's advice first. Factor the numerator and denominator. Then cancel any common term. Then set the remaining denominator equal to zero and solve for x.
anonymous
  • anonymous
Is that how I get the x-coordinate of the hole? Because that's all I need
mathstudent55
  • mathstudent55
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mathstudent55
  • mathstudent55
Once you get to this point, you see that the x - 4 denominator is still there. that creates an asymptote at x = 4.
anonymous
  • anonymous
So then the hole is 4?
mathstudent55
  • mathstudent55
If the function were only y = (7x)/(x - 4) there would be no hole, just the asymptote. But since the original function had the extra binomial x + 9 in the denominator, that creates the hole at x = -9.
anonymous
  • anonymous
Ah,okay. Thank you for explaining it.
mathstudent55
  • mathstudent55
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mathstudent55
  • mathstudent55
wlcm

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