Mathematics, 04.01.2020 05:31 JKJKJKJKGFGH7470
Amc "for each $x$" in [0,1], define f(x) = 2x for how many values of x in [0,1] if f 2005 (x) = 1/2?
Answers: 1
![f^{[2005]}(x) = \frac {1}{2}](/tpl/images/0442/1910/67b27.png)
.![f(f^{[2004]}(x))=\frac{1}{2}](/tpl/images/0442/1910/d6422.png)
. ![y=f^{[2004]}(x)](/tpl/images/0442/1910/5ef00.png)
.
or 
or 
.![f^{[2004]}(x)=\frac{1}{4}](/tpl/images/0442/1910/46465.png)
or ![f^{[2004]}(x)=\frac{3}{4}](/tpl/images/0442/1910/f8c57.png)
.![f(f^{[2003]}(x))=\frac{1}{4}](/tpl/images/0442/1910/1f0f4.png)
orf(f^{[2003]}(x))=\frac{3}{4}.![z=f^{[2003]}(x)](/tpl/images/0442/1910/7a2b5.png)
.
or f(z)=\frac{7}{8} or f(z)=\frac{5}{8} or f(z)=\frac{3}{8}.
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Amc "for each $x$" in [0,1], define f(x) = 2x for how many values of x in [0,1] if f 2005 (x) = 1/2?...
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