A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Janu16

  • one year ago

Let f(x) = 3x^2 – x + 2 and g(x) = 5x^2 – 1. Find f(g(x)). Show each step of your work.

  • This Question is Closed
  1. Janu16
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @peachpi

  2. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \( g(x) = 5x^2 – 1\) \(f(x) = 3x^2 – x + 2\) \(f[g(x)] = f(5x^2 – 1) = 3[5x^2 – 1]^2 – [5x^2 – 1] + 2 \) this what you meant?? hope it helps :p

  3. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(\bf f(x)=3x^2-x+2\qquad g(x)={\color{brown}{ 5x^2-1 }} \\ \quad \\ f(\ {\color{brown}{ g(x)}}\ )=3x({\color{brown}{ g(x)}})^2-({\color{brown}{ g(x)}})+2 \\ \quad \\ f(\ {\color{brown}{ g(x)}}\ )=3x({\color{brown}{ 5x^2-1}})^2-({\color{brown}{ 5x^2-1}})+2\)

  4. Janu16
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so do you sole this?

  5. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    just distribute and simplify, sure

  6. Janu16
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    25x^2-3x^2+25x^2-3^2+2?

  7. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm, notice, the 1st term has an squared binomial you need to expand that one first

  8. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(\bf f(\ {\color{brown}{ g(x)}}\ )=3x({\color{brown}{ 5x^2-1}})^2-({\color{brown}{ 5x^2-1}})+2 \\ \quad \\ f(g(x))=3x({\color{brown}{ 25x^4-10x^2+1}})-5x^2+1+2\)

  9. Janu16
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    why x4

  10. Janu16
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @jdoe0001

  11. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(\bf (5x^2-1)^2\iff (5x^2-1)(5x^2-1)\implies (25x^4-10x^2+1)\)

  12. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you can FOIL if you want

  13. Janu16
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ojok

  14. 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.