anonymous
  • anonymous
What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x plus 24?
Mathematics
chestercat
  • chestercat
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LynFran
  • LynFran
set the denominator= to 0 and solve for x 4x+24=0
anonymous
  • anonymous
SO subtract 24 from each side?
LynFran
  • LynFran
correct then what?

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LynFran
  • LynFran
so we have 4x=-24 ...what do we do next...?
anonymous
  • anonymous
factor 4(x+6)
LynFran
  • LynFran
|dw:1437108766146:dw|
anonymous
  • anonymous
-6
LynFran
  • LynFran
correct...so when x=-6 the function is discontinuous ok
anonymous
  • anonymous
ok:)
anonymous
  • anonymous
Will you help with one more?
anonymous
  • anonymous
Also, thank-you!
LynFran
  • LynFran
ok
anonymous
  • anonymous
What is the least common denominator of the fraction 3 x over x plus 1 plus the fraction x plus 1 over 2 x plus the fraction 5 over x?
anonymous
  • anonymous
|dw:1437101977039:dw|
LynFran
  • LynFran
Here are the steps to follow: Find the Least Common Multiple of the denominators (which is called the Least Common Denominator). Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator. Then add (or subtract) the fractions, as you wish!
anonymous
  • anonymous
Ok so the LCD is 2(x^2+1)?
anonymous
  • anonymous
yes?
LynFran
  • LynFran
no 1
anonymous
  • anonymous
okay thanks

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