Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

brandonloves

  • 3 years ago

Compute and simplify the difference quotient f(a+h)-f(a) --------- h g(x)=2x^2+14x -13

  • This Question is Closed
  1. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this was already confusing enough without changing it to g(x)

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

    replace \(g\) by \(f\) it makes no difference, it is all algabra

  3. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh ok. so it's like: 2(a+h)^2+14(a)-13 over h?

  4. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    which comes to...

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

    no hold on

  6. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh

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

    you have to subtract first

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

    well, first you have to expand, then you have to subtract

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

    \(g(a+h)= 2(a+h)^2+14(a+h)-13\)

  10. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    expand like 2a+2h.... and so on?

  11. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (2a+2h)^2?

  12. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    for the first one

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

    yeah it is \[2(a^2+2ah+h^2)+14a+14h-13\] \[=2a^2+4ah+2h^2+14a+14h-13\]

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

    square first multiply by 2 second

  15. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh ok, gotcha

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

    from this you need to subtract \(2a^2+14a-13\) so everything without an \(h\) will be gone

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

    then you can factor out an \(h\) from the remaining terms in the numerator, and cancel with the \(h\) in the denominator

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

    you should be left with \[4ah +14h+2h^2\] before you divide after you divide you get \[4a+14\] and next week you will be able to do this problem instantly in your head

  19. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok, so I have 2a^2 +4ah + 2h^2 +14a +14h -13 and then I subtract 2a2+14a−13? how do I know to do that?

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

    subtract

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

    \(2a^2-2a^2=0\) \(14a-14a=0\) and \(-13-(-13)=0\)

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

    in other words, every term without an \(h\) is gone

  23. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh, now I get it

  24. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and that leaves me with 4ah + 2h^2 +14h

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

    yes, and now divide by \(h\)

  26. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    as you said lol

  27. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  28. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4a+2h+14

  29. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    which is one of my multiple choice answers...

  30. brandonloves
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well, I dunno if I'll be able to do that in my head instantly, but if I can work it out, then I'll be ok at least haha. Thanks @satellite73

  31. 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