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# I NEED HELP QUICKLY!

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Question 1:

The values of a function $f(x)$ are given in the table below.\begin{tabular}{|r||c|c|c|c|c|c|} \hline $x$ & 1 & 2 & 3 & 5 & 8 & 13 \\ \hline $f(x)$ & 3 & 13 & 8 & 1 & 0 & 5 \\ \hline \end{tabular}If $f^{-1}$ exists, what is $f^{-1}\left(\frac{f^{-1}(5) +f^{-1}(13)}{f^{-1}(1)}\right)$?

Question 2:

Let

$f(n) = \begin{cases} n^2+1 & \text{if }n\text{ is odd} \\ \dfrac{n}{2} & \text{if }n\text{ is even} \end{cases}.$

For how many integers n from 1 to 100, inclusive, does $f ( f (\dotsb f (n) \dotsb )) = 1$ for some number of applications of f?https://artofproblemsolving.com/class/2411-algebra-b/alcumus

Jun 22, 2020
edited by Guest  Jun 22, 2020
edited by Guest  Jun 23, 2020
edited by Guest  Jun 23, 2020

#1
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I also take in the explanation and process it, this is an AoPS problem if you are wondering, but this topic is very confusing to me. I would greatly apreciate it if I get an answer in the next 30 minutes, and if not I would re try the problem until I get it. AGAIN I AM NOT CHEATING OFF THE ANSWERS

Jun 23, 2020
#2
+21566
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I can't interpret the question.

Jun 23, 2020
#3
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Just use a latex calculator

Guest Jun 23, 2020
#4
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I'll give hints if you make it readable...

Jun 23, 2020
#5
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ok

f(n) includes n^2+1 is odd and n/2 is even. For how many integers n from 1 to 100 does f(f(...f(n)...)) =1 for some number of applications of f?

can u please use a latex calculator for the other one?

Guest Jun 23, 2020