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anonymous
 one year ago
Find fog and gof and their domains for the pair of functions F(x)=2x^2+3 and g(x)=4x5
(I have fog, I cannot figure out gof)
anonymous
 one year ago
Find fog and gof and their domains for the pair of functions F(x)=2x^2+3 and g(x)=4x5 (I have fog, I cannot figure out gof)

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FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1so first, what is g composed f?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1the function I mean,

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0g should be \[2x^2+3\]

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1that's what you have for f?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1ok, so I am asking, when you plug f into g, what is the resulting function?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1ie. \(g(f(x) ~or~ g ~o~ f\)

kc_kennylau
 one year ago
Best ResponseYou've already chosen the best response.0Just making things tidier for everyone: \[\Large f(x)=2x^2+3\]\[\Large g(x)=4x5\]\[\Large(f\circ g)(x) = 2(4x5)^2+3\]\[\Large(g\circ f)(x) = 4(2x^2+3)5\] (Please correct me if I'm wrong)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont know what gof is...I need help with that I only know fog, which I just gave an answer of

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1how did you get fog, what did you do? (gof is the same process)

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1or ok, let's say let x=2, what would you do?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1you'd put a 2 everywhere you see an x right?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1so in the equation g(x) replace every x with f.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1then replace every f with what f equals, it's just substitution

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I did \[fog=f(4x5)\] \[fog=2(4x5)^2+3\] which equals \[32x^280x+53\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that answer is for fog and now I don't know how to do gof

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0for g o f you place your f(x) function into the g(x) function

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1same exact way as above

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1you did it correctly

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1its just g(f) instead of f(g)

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1do you see what I mean?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0some people use different terminology symbols... I don't use that but I do use g o f a lot... read this from right to left... your f(x) function should be placed inside the g(x) function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I did and it keeps telling me I'm wrong. This is how I would do it... \[4(32x^280x+53)5\] which would give me \[128x^2320x+207\]

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1ah, you put the wrong function in

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do I put it in :(

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1you put your answer for part a in instead of doing the new problem

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1you plugged f composed with g in instead of just f

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0do you see the x in g(x) = 4x 5 replace that x in g(x) with that entire f(x) function

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1so what is f? Plug that in instead of your answer for part a, then I will double check it.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1you did set it up correctly, just misread your paper.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so \[g(x)=4(2x^2+3)5\]

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1much better :)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0yes so all you have to do is distribute that 4 for 2x^2+3

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1go ahead, try and simplify

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0final answer should be \[8x^2+7\] right?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1well, how do you distribute the 4?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0so what is 4 times 2x^2 and what is 4 times 3

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1so just remember, if you have \[a(c+b)=ac+ab\] You have to send the a to b and c

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1ok now that is what happens when you distribute correctly, now, you still had that  five hanging out

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0we don't need the x for the 12

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0\[g(x)=8x^2+125\] what is 12  5 ?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1You were right to begin with, I apologize

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1I got lost in usuki's comments

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh thanks...yeah I was confused that you guys said it was wrong haha

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1yea, I'm sorry about that. I read the we are multip[lying and assumed you added, I didn't notice they come out the same. But anyways, does this make sense now?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, is that the final answer?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1well, yes and no

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1so that is the final answer for what is g composed f, but we are not just loooking for that

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1now, we need to find their domain, for both bantaray

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we are looking for domains

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1now, what does domain mean bant?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0oh geez total miss. . .

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1I got this usuki, you can go

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the domain for fog is \[(\infty,\infty)\]

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1h/o I need to find what that was again haha

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1sounds right though

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1yep, that's right

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1side note, you can also say All real numbers

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, I got the domains now...I figured them out really fast :) I think we are done

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1yep, what did you get for g(f)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have one more question.....Would you mind staying to help me?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1can you pop open another question and tag me?

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.1just close this one to make a new one. It's a bit of a long thread
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