A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Perform the following operations and prove closure. x/x+3 + x+2/x+5

  • This Question is Open
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @welshfella @Elsa213

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @alexistheking777 @peachpi

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1436973914482:dw|

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    commond denominator (x+3)(x+5) |dw:1436974232640:dw|

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1436974357719:dw|

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, yes I see :)

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2x^2+10x+6/(x+3)(x+5

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes?

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes. and you can combine the denominator to x²+8x+15

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How do I do that?

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1436974690367:dw| then the final result is \[\frac{ 2x^2+10x+6 }{ x^2+8x+15 }\]

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :) Thanks!!!

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    And the closure would be -3,5

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -3 and -5

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh :)

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Can I ask another?

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x plus 4 over x squared plus 5x plus 6 times x plus 3 over x squared minus 16.

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this? \[\frac{ x+4 }{ x^2+5x+6 } \times \frac{ 3 }{ x^2-16 }\]

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1436975237198:dw|

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok. you can factor the denominators and then cancel to make the multiplication easier. do you know how?

  23. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes x2+5x+6 = (x+2)(x+3)

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes, and you can factor x²-16 too

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (x-4)(x+4)

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    right, so now it's this and you can cancel |dw:1436975608076:dw|

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so 1/x+2(x-4)

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    closure would be -2,4

  29. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes that's right

  30. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.