A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
For f(x)=1/x5 and g(x)=x^2+2
Find the expression for g(x).
Substitute the value of g(x) into the function f(x) in place of x to find the value of f(g(x))
anonymous
 one year ago
For f(x)=1/x5 and g(x)=x^2+2 Find the expression for g(x). Substitute the value of g(x) into the function f(x) in place of x to find the value of f(g(x))

This Question is Closed

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2So we're looking for f(g(x))?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Looking for g(x) too! But not sure if it's just g(x)=x^2+2 orrr

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2That just means plug in function g(x) where ever there is an x in f(x)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2g(x) is just x^2+2

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2If your f(x) = 1/(x5) or is it (1/x)5

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Ok, always put brackets! :) So go ahead and find f(g(x)) as I told you how to

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[f(g(x)) = \frac{ 1 }{ (x^2+2)5 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It also has a part 2 that says: (gof)(6) a. find f(6) and b Substitute the value you found in Part 1 into g(x) to find g(f(6))

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2So yes, you're right :)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2(g o f)(x) is the same thing as g(f(x))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh, so do i just plug in 6 to 1/(x^23) ?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2So plug in function f(x) in g(x) then plug in 6 for (g o f)(6)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2No, that's f(g(x))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh so is it 1/(x5) + 2

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[g(f(x)) = \left( \frac{ 1 }{ x5 } \right)^2+2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do i need to simplify that? or no

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Just find g(f(6))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait, is Find F(6) just plugging in 6 to f(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and g(f(6)) is the equation you gave? for part b

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[g(f(x)) = \left( \frac{ 1 }{ x5 } \right)^2+2\] \[g(f(6)) = \left( \frac{ 1 }{ 65 } \right)^2+2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it's 3 for the question that asks: Substitute the value you found in Part 1 into g(x) to find g(f(6))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and there's another question that says find f(6) so would that just be 1

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Can you post the question, it's a bit confusing with all the notation

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Especially when you're not using LaTeX

anonymous
 one year ago
Best ResponseYou've already chosen the best response.01) Find f(6). 2) Substitute the value you found in Part 1 into g(x) to find g(f(6))

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2I mean take an image of the question

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yeah, I'm not sure which question is connected to what, so it's a bit confusing :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it was separated into two pages, sorry!

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Well I'm not sure why you didn't just take a picture of the full page, but it seems incomplete, your question for part A seems as if it wants you to find a expression using g(x) from the graph.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, sorry ignore the graph, it's a different question. sorry!!

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Huh? Then this really makes no sense, are the pages both completely different questions?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nope, they're supposed to go together

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Oh I see, the graph is on a different piece of paper!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah!! sorry haha :/

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Ok, so lets do it all over again

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2We're given \[f(x) = \frac{ 1 }{ x5 } ~~~\text{and}~~~~g(x) = x^2+2 \] Part 1, A seems they just want you to find the expression for g(x) meaning they are just seeing if you understand the question, so it's just \[g(x) = x^2+2\] part B wants you to find the f(g(x)) so we take function g(x) and plug it into f(x) \[f(g(x)) = \frac{ 1 }{ (x^2+2)5 }\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2You can do the simplifications, now lets move on to part 2

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2We need to find f(6) that just means we need to find \[f(6) = \frac{ 1 }{ 65 }\] which gives us what?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and so B would be 3 right?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2It's asking us to substitute the value we found in part 1, into g(x) so we can find g(f(6))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yup! so I would just find g(f(x)) right?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2What we found in part 1 was \[g(x) = x^2+2\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Is the one they are referring to I believe

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2So all you need to do here is, find g(f(x)) first then g(f(6))

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[g(f(x)) = \left( \frac{ 1 }{ x5 } \right)^2+2\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[g(f(6)) = \left( \frac{ 1 }{ 65 } \right)^2+2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks so much for your help!! :))

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2So what this question is trying to get across is, you knowing what the notation means and what exactly these compositional functions are doing. So notice we actually took what we solved f(6) and just plugged in g(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I get it now haha :) thanks!!

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2We could've very well put \[g(f(6)) = f(6)^2 + 2 = 1^2+2\]
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.