Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

virtus

  • 2 years ago

find the domain and range of cos^-1(x^2-1)

  • This Question is Closed
  1. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    range of cos ?

  2. akash123
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i mean what's the max and min of cos x?

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

    huh?

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

    I think hes asking if its asked for an interval or the whole function. Because if there are no interval than the domain of cosine is for all real numbers

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

    and yoru range is between 0 and pi (so 0<=y<=pi)

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

    and for hte domain it is - sqrt(2) <=x<=sqrt(2)

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

    @MarcLeclair may you please show me how to do it?

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

    yes give me one second :)

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

    did your teacher giove you the domain of the arccosine function?

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

    There is a set one but im just wondering if you have it

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

    nope

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

    |dw:1347453496255:dw|Okay so the arccosine function has ( INITIALLY) a domain of -1<=x<=1 and a range of 0<=y<=pi this is because the graph of a arccos is mor vertical, if we ake a range or domain bigger than that it loses its role of function as one x has more than one image

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

    however, the function youve asked for has been shifted. Therefore, you have to solve for not arccosine X but arcossine x^2-1. for the domain you do as follow -1<= (x^2+1)<= 1

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

    same goes for the range, you hae 0<=y<=pi, then you have to insert your function so : 0<= arccosin (x^2+1)<=0 You then have to solve forthe inequality :D

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

    hope it helped if you need help wit hthe inequalities I will :)

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

    0<= arccosin (x^2+1)<=pi*

  17. 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.