anonymous
  • anonymous
Help Meeee ):
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
if f(x)= 3/x & g(x)=3x which is true? A) (fog)(2)=2 B) (gof)(0)=0 C) (fog)(9)=1 D) (gof)(-9)=-1
anonymous
  • anonymous
@zordoloom
jim_thompson5910
  • jim_thompson5910
first can you tell me what g(2) is?

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anonymous
  • anonymous
no
jim_thompson5910
  • jim_thompson5910
g(x) = 3x g(2) = 3*2 ... replace EVERY x with 2 g(2) = 6
jim_thompson5910
  • jim_thompson5910
(f o g)(2) = f(g(2)) (f o g)(2) = f(6) (f o g)(2) = ???
jim_thompson5910
  • jim_thompson5910
so how do you find f(6)?
anonymous
  • anonymous
f=3?
jim_thompson5910
  • jim_thompson5910
f(x)= 3/x f(6)= 3/6 f(6) = ???
anonymous
  • anonymous
?
jim_thompson5910
  • jim_thompson5910
reduce 3/6
jim_thompson5910
  • jim_thompson5910
what do you get?
anonymous
  • anonymous
1/2
jim_thompson5910
  • jim_thompson5910
so is (fog)(2)=2 true?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
but we just found that f(6) = 1/2 which pointed to the fact that (f o g)(2) = 1/2
anonymous
  • anonymous
but that isnt a choice on the answers?
jim_thompson5910
  • jim_thompson5910
so that rules out choice A
anonymous
  • anonymous
so its B?
jim_thompson5910
  • jim_thompson5910
what is f(0)
jim_thompson5910
  • jim_thompson5910
f(x) = 3/x f(0) = 3/0 is that possible?

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