A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Can someone provide some assistance please? Use the functions f(x) = 5x − 12 and g(x) = 11x + 2 to complete the function operations listed below. Part A: Find (f + g)(x). Show your work. (3 points) Part B: Find (f ⋅ g)(x). Show your work. (3 points) Part C: Find f[g(x)]. Show your work. (4 points)

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

    I believe that for the first part that you're supposed to add the two equations, but the part about part A that confuses me is /how/ do you add them?

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

    yes for part A you add. \[(f+g)(x)=f(x)+g(x)=5x-12+11x+2\]

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

    Combine like terms

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

    Would it be -6x?

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

    you'd add the terms with x's together and the constant terms, so (5x + 11x) + (-12 + 2) Do each grouping separately

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

    16x + (-10)?

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

    right, so 16x - 10 is the answer

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

    Oh okay! Can you help with the other two parts as well, please?

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

    yeah. For B you have to use FOIL \[(5x-12)(11x+2)\]

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

    \[55x^2-122x-24\] Right?

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

    yes that's right

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

    For C, they want f(g(x)), so you substitute g(x) for the x in f(x)|dw:1440209471420:dw|

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

    Would it be: \[55x - 10\]

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

    I got 55x - 2 Did you start with 5(11x + 2) - 12

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

    Yes, I thought when you added positive 2 to negative 12 it would end up being negative 10, or am I doing something wrong-?

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

    5(11x + 2) - 12 Distribute 5 55x + 10 - 12 55x - 2

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

    Ahh, alright I see what I did wrong. I didn't distribute completely.

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

    Is that the answer for part C?

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

    he didnt finish the question...

  20. 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.