Difference between revisions of "1993 AHSME Problems/Problem 12"
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== Solution == | == Solution == | ||
− | As <math>f(2x)=\frac{2}{2+x}</math>, we have that <math>f(x)=\frac{2}{2+\frac{x}{2}}</math>. This also means that <math>2f(x)=\frac{2}{2(2+\frac{x}{2})}</math> which implies that the answer is \fbox{E}$ | + | As <math>f(2x)=\frac{2}{2+x}</math>, we have that <math>f(x)=\frac{2}{2+\frac{x}{2}}</math>. This also means that <math>2f(x)=\frac{2}{2(2+\frac{x}{2})}</math> which implies that the answer is \fbox{E}$. ~ samrocksnature |
== See also == | == See also == |
Revision as of 22:32, 4 April 2021
Problem
If for all
, then
Solution
As , we have that
. This also means that
which implies that the answer is \fbox{E}$. ~ samrocksnature
See also
1993 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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All AHSME Problems and Solutions |
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