A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y =(4/x^2) + 9
anonymous
 one year ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)). y =(4/x^2) + 9

This Question is Closed

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1I think that a possible choice, can be this: \[\begin{gathered} g\left( x \right) = {x^2} \hfill \\ f\left( x \right) = \frac{4}{x} + 9 \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we have: \[\Large f\left( {g\left( x \right)} \right) = \frac{4}{{g\left( x \right)}} + 9 = ...?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0my choices are A.f(x)= x+9 g(x)= 4/x^2 B.f(x)= x g(x)= (4/x)+9 C.f(x)= 1/x g(x)= 4/x)+9 D.f(x)= 4/x^2 g(x)= 9

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1I consider case A: \[\Large f\left( {g\left( x \right)} \right) = g\left( x \right) + 9 = ...\] please substitute g(x9= 4/x^2, what do you get?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1oops..g(x)=4/x^2, what do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it be f(x)= x+9

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! it is, so we can write: \[\Large f\left( {g\left( x \right)} \right) = g\left( x \right) + 9\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and how would i get a y value?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1you have to replace g(x) with its definition 4/x^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(g(x))=g(x)+9 = f(g(x))=(4/x^2)+9
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.