A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Let f(x) = 3x2 – x + 2 and g(x) = 5x2 – 1. Find f(g(x)). Show each step of your work
anonymous
 one year ago
Let f(x) = 3x2 – x + 2 and g(x) = 5x2 – 1. Find f(g(x)). Show each step of your work

This Question is Closed

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1First, write out f(x)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437453923911:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now replace x in the equation above by what g(x) is equal to, which is 5x^2  1.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437453998789:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437454056943:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1I left out one closeparenthesis above, so I just added it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Great explanation but there's a small mistake. final answer should be like 3(5x^21)^2 (5x^21)+2

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Thanks, I forgot the square of the first term. dw:1437456208250:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wouldn't you also have to multiply the first x value by three after squaring it? Or would the answer just be left as is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(75x^430x^2+3)(5x^21)+2?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(f(g(x)) = 3(5x^2  1)^2  (5x^2  1) + 2\) \(f(g(x)) = 3(25x^4  10x^2 + 1)  5x^2 + 1 + 2\) \(f(g(x)) = 75x^4  30x^2 + 3  5x^2 + 3\) \(f(g(x)) = 75x^4  35x^4 + 6\)
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.