1993 AHSME Problems/Problem 12: Difference between revisions
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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}{4+x}</math> which implies that the answer is <math>\fbox{E}</math>. ~ samrocksnature | 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}{4+x}</math> which implies that the answer is <math>\fbox{E}</math>. ~ samrocksnature | ||
Note: Wait what | |||
== See also == | == See also == | ||
Revision as of 21:36, 4 April 2021
Problem
If 
for all 
, then 
Solution
As , we have that 
. This also means that 
which implies that the answer is 
. ~ samrocksnature
Note: Wait what
See also
| 1993 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
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