A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

breanna1999

  • one year ago

Let f(x)=x^2+x+2 and g(x)=2x^2+5 find f(g(x))

  • This Question is Closed
  1. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hint: \(\bf f(x)=x^2+x+2 \qquad {\color{brown}{ g(x)}} =2x^2+5 \\ \quad \\ f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ g(x)}})^2+({\color{brown}{ g(x)}})+2 \\ \quad \\ f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ 2x^2+5}})^2+({\color{brown}{ 2x^2+5}})+2\)

  2. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    expand and simplify :)

  3. breanna1999
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't get it

  4. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    which part?

  5. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    notice, the "g(x)" becomes the ARGUMENT for f(x), thus any "x" inside f(x) becomes "g(x)" and it turns out that g(x) is an expression, so once expanded, it looks like so :)

  6. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if we say were to use "cheese" instead than \(\bf f(cheese)=cheese^2+cheese+2\)

  7. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    f( value for the variable ) <--- so whatever is in there, the variable, or "x", takes on that

  8. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it just so happens, in this case is a function, g(x)

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

    say cheese!!

    1 Attachment
  10. 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.