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Katieann16
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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

Katieann16
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@zordoloom

jim_thompson5910
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first can you tell me what g(2) is?

Katieann16
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no

jim_thompson5910
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g(x) = 3x
g(2) = 3*2 ... replace EVERY x with 2
g(2) = 6

jim_thompson5910
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(f o g)(2) = f(g(2))
(f o g)(2) = f(6)
(f o g)(2) = ???

jim_thompson5910
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so how do you find f(6)?

Katieann16
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f=3?

jim_thompson5910
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f(x)= 3/x
f(6)= 3/6
f(6) = ???

Katieann16
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?

jim_thompson5910
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reduce 3/6

jim_thompson5910
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what do you get?

Katieann16
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1/2

jim_thompson5910
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so is (fog)(2)=2 true?

Katieann16
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yes

jim_thompson5910
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but we just found that f(6) = 1/2
which pointed to the fact that (f o g)(2) = 1/2

Katieann16
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but that isnt a choice on the answers?

jim_thompson5910
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so that rules out choice A

Katieann16
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so its B?

jim_thompson5910
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what is f(0)

jim_thompson5910
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f(x) = 3/x
f(0) = 3/0
is that possible?