Difference between revisions of "AoPS Wiki talk:Problem of the Day/September 19, 2011"
(Created page with "We know that <math>f(f(x))=x</math> for this particular function. Since <math>(x,y)</math> is on the graph, <math>y=f(x)</math>; since <math>(y,z)</math> is on the graph, <math>...") |
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− | We know that <math>f(f(x))=x</math> for this particular function. Since <math>(x,y)</math> is on the graph, <math>y=f(x)</math>; since <math>(y,z)</math> is on the graph, <math>z=f(y)=f(f(x))=x</math>, so the answer is <math>\boxed{\textbf{(C)}}</math>. | + | We know that <math>f(f(x))=x</math> for this particular function. Since <math>(x,y)</math> is on the graph, <math>y=f(x)</math>; since <math>(y,z)</math> is on the graph, <math>z=f(y)=f(f(x))=x</math>. Thus, <math>f(x)=f(z)</math>, so the answer is <math>\boxed{\textbf{(C)}}</math>. |
Latest revision as of 16:16, 19 September 2011
We know that for this particular function. Since
is on the graph,
; since
is on the graph,
. Thus,
, so the answer is
.