anonymous
  • anonymous
Which functions are correct? f(x)=2^4x g(x)=2^x Choose exactly two answers that are correct. A. (f g)(x)=2^5x B. (f g)(x)=2^4x2 C. (f/g)(x)=2^3x D. (f/g)(x)=1/2^4x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Hero
anonymous
  • anonymous
@sleepyjess
anonymous
  • anonymous
@jigglypuff314

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jigglypuff314
  • jigglypuff314
http://image.slidesharecdn.com/m1l1remediationnotes-140207144744-phpapp02/95/module-1-lesson-1-remediation-notes-15-638.jpg?cb=1391784538
anonymous
  • anonymous
Wait nevermind It worked!
anonymous
  • anonymous
So what is the next step to do??
jigglypuff314
  • jigglypuff314
so now that you know how those equations work we know that (f * g)(x) = 2^(4x) * 2^(x) right?
anonymous
  • anonymous
Yes
jigglypuff314
  • jigglypuff314
can you simplify that? which answer do you think that would be?
anonymous
  • anonymous
I think it would be B
jigglypuff314
  • jigglypuff314
hmmm do you know about these properties? https://mathtestpreparation.com/Principles/algebra_sproduct2.gif
anonymous
  • anonymous
Yes!
jigglypuff314
  • jigglypuff314
so 2^(4x) * 2^(x) would equal 2^(4x + x) = ?
anonymous
  • anonymous
no wait is it 16, I am so confused
jigglypuff314
  • jigglypuff314
4x + x = ?
anonymous
  • anonymous
4x
jigglypuff314
  • jigglypuff314
are you sure? ^_^
anonymous
  • anonymous
no 5x
anonymous
  • anonymous
I think I am sure
jigglypuff314
  • jigglypuff314
good so 2^(4x) * 2^(x) = 2^(4x + x) = 2^(5x) do you see how that works?
anonymous
  • anonymous
Yes I do
jigglypuff314
  • jigglypuff314
now, what do you think the answer would be then?
anonymous
  • anonymous
the answer would be A, but it says we have to choose to answers
jigglypuff314
  • jigglypuff314
indeed the other answer would be the idea of (f / g)(x) = 2^(4x) / 2^(x)
anonymous
  • anonymous
So would it be A and B
jigglypuff314
  • jigglypuff314
nono, we just got A right? now we are looking at the dividing idea (between C and D)
jigglypuff314
  • jigglypuff314
(f / g)(x) = 2^(4x) / 2^(x) = 2^(4x - x) = ?
anonymous
  • anonymous
hmm 15...
anonymous
  • anonymous
Wait, the answers are A and C
jigglypuff314
  • jigglypuff314
there you go
anonymous
  • anonymous
Thank you so much!!!!!!!!

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