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Let there be a function f(x) which maps through all real numbers. If f(2)=1/9, f(f(x))=1/3x, find f(1/6).

 

So far, my progress is that if we plug in f(2) into f(f(x)) we get f(f(2))=f(1/9)=1/6. Also, f(f(1/6))=2. However, I'm not sure how this can help us. May I have some help? Thanks in advance.

 May 5, 2021
 #1
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Is   F (f(x) )  =   1 / (3x)     Or     1/3  * x  ??

 May 5, 2021
 #2
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It is 1/(3x), sorry. My bad.

 May 5, 2021
 #3
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Nevermind, I solved it. Notice f(2)=1/9, f(1/9)=1/6, f(f(1/9))=3, therefore f(1/6)=3 :)

 May 5, 2021
 #4
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Nice job guest!

laugh

WillBillDillPickle  May 6, 2021
 #5
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Thank you :)

Guest May 6, 2021

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