Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mukushla

  • 2 years ago

Range of\[f(x)=\sqrt{x^2+x+2}-\sqrt{x^2+x+1}\]

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

    \[f(x)=\sqrt{x^2+x+2}-\sqrt{x^2+x+1}\]

  2. mukushla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yeah

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

    Range = Real Numbers

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

    I think |dw:1347709678855:dw|

  5. mukushla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    thats it

  6. mukushla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is ur approach?

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

    always positive, diff for max

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

    x^2+x+2=(x+1/2)^2 +7/4 x^2+x+1=(x+1/2)^2+3/4 Now, f(x) is maximum when (x+1/2)^=0 because the f(x) value decresases as (x+1/2)^2 is greater than 0 since |dw:1347710167952:dw| Now, when (x+1/2)^2 ---->approaches infinity f(x) will be minimum but will never be zero.....but will be very close to zero

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

    Sorry not good at expalining things

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

    But I think thats it

  11. mukushla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[f(x)=\frac{1}{\sqrt{x^2+x+2}+\sqrt{x^2+x+1}}\]

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

    Is that another question?

  13. mukushla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no this is same

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

    ?

  15. mukushla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[f(x)=\sqrt{x^2+x+2}-\sqrt{x^2+x+1}\times\frac{\sqrt{x^2+x+2}+\sqrt{x^2+x+1}}{\sqrt{x^2+x+2}+\sqrt{x^2+x+1}}\]

  16. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    just rationalizing the denom, isn't it ?

  17. mukushla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

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

    Oh ya

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.