Bananas1234
  • Bananas1234
Simplify and identify the domain. -5/5x + 15 times 2(x + 2)/x^2 - 4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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rajat97
  • rajat97
to identify the domain, we need to see at which points, the function is undefined so the function is undefined at three points. those points are -3,2 and -2 the function is defined and exists at all real numbers except these three. thus the domain is all real numbers except -3,-2,2
rajat97
  • rajat97
hello Bananas1234 is it right??
UsukiDoll
  • UsukiDoll
I think everyone needs a mandatory course in latex or something. I can't read this.

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UsukiDoll
  • UsukiDoll
rajat, you're right for -2,2, and -3 will make the denominator 0. assuming that this is the right equation.
Bananas1234
  • Bananas1234
idk what latex is. and i agree with the -2, 2 and -3 but what about the simplify part?
Bananas1234
  • Bananas1234
@UsukiDoll
anonymous
  • anonymous
factor both denominators, then cancel common terms
rajat97
  • rajat97
look at the denominators
rajat97
  • rajat97
the numbers at which the denominators become zero are the numbers that will be excluded from the domain
Bananas1234
  • Bananas1234
|dw:1433046092010:dw|
UsukiDoll
  • UsukiDoll
-5/5x + 15 times 2(x + 2)/x^2 - 4 \[\frac{-5}{5x+15} \times \frac{2(x+2)}{x^2-4}\]
UsukiDoll
  • UsukiDoll
if we can pull that 5 out on the first denominator and then make sure that \[x^2-4 = (x+2)(x-2) \] omg latex come on. x^2-4 = (x+2)(x-2) cancel out some of the terms... you should be able to cancel out 2 of them
UsukiDoll
  • UsukiDoll
sorry my end is bugged... need to refresh
UsukiDoll
  • UsukiDoll
\[\frac{-5}{5(x+3)} \times \frac{2(x+2)}{(x+2)(x-2)}\] do you see anything that needs to be canceled out?
UsukiDoll
  • UsukiDoll
the common terms are 5 and x+2... since I can see them on the numerator and denominator we can cancel it out.
UsukiDoll
  • UsukiDoll
\[\frac{-1}{(x+3)} \times \frac{2}{(x-2)}\] and since we're not dealing with addition, we can just multiply this through. \[\frac{-2}{(x+3)(x-2)}\]
Bananas1234
  • Bananas1234
Thanks

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