A community for students.
Here's the question you clicked on:
 0 viewing
AdamK
 one year ago
If I'm given f(x) and g(x) and I need to find h(x) if h(x) = g(f(x)) what do I do to f(x) for the negative x transformation?
f(x) = x^2 and g(x) = (1/3)x  2
AdamK
 one year ago
If I'm given f(x) and g(x) and I need to find h(x) if h(x) = g(f(x)) what do I do to f(x) for the negative x transformation? f(x) = x^2 and g(x) = (1/3)x  2

This Question is Closed

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1Do the opposite for every instance of x in f(x). So all x's become negative.

AdamK
 one year ago
Best ResponseYou've already chosen the best response.0@PhantomCrow So h(x) = 1/3(x^2)  2 just like f(g(x) would be?

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1h(x) would be (1/3)(x^2) +2

AdamK
 one year ago
Best ResponseYou've already chosen the best response.0@PhantomCrow I don't think so. I think because f(x) = x^2, then g(f(x)) = g(f(x))

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1if f(x)=x^2 then f(x)=x^2. Now replace f(x) with every instance of x in g(x) to get g(f(x)).

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1or rather g(f(x)). Sorry.

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1Because all your doing when you compose functions is replacing x values. You don't modify constants like +2. +2 was always in g(x). We're interested in replaces all x's in g(x) with f(x) so +2 remains as is.

AdamK
 one year ago
Best ResponseYou've already chosen the best response.0And I'm still convinced f(x) = x^2

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1Ok. What f(x) is stating is "take my original self and make all my x's negative". f(x)=x^2 so f(x) would equal x^2 because we are now taking the negative of all x's values in that function. That is why it is notated as f(x).

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1And apologies for misinterpreting the 2. 2 remains the same, then.

AdamK
 one year ago
Best ResponseYou've already chosen the best response.0I have to disagree. That's f(x).

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1f(x) would be multiplying the entire function by 1.

AdamK
 one year ago
Best ResponseYou've already chosen the best response.0Exactly. That's what you're doing. You're multiplying x^2 by 1 to get x^2. If it's just multiplying "x" by 1 then it's x * x which equals x^2.

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1In this case, f(x) happens to equal f(x). That's just arbitrary, however, and not always the case.

AdamK
 one year ago
Best ResponseYou've already chosen the best response.0No. It does not. You are wrong.

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1Actually, I am. I'm terribly sorry. I wasn't making the distinction between (x)^2 and (x^2).

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.1f(x) is indeed x^2.

AdamK
 one year ago
Best ResponseYou've already chosen the best response.0No problem man. Glad you figured it out. And I'm glad I figured it out :)
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.