Difference between revisions of "AoPS Wiki talk:Problem of the Day/June 5, 2011"
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| + | First, let's simply the expression <math> f(x) =\frac{x}{2}-\frac{5}{2} </math>. We have <math>f(g(7+-3)+3) = f(g(4)+3) \ .</math> | ||
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| + | We need to find <math>g(4)</math>. We know that <math>g(x)=4x-6</math>. That implies that <math>g(4)=4(4)-6=10</math>. Now we know that <math>f(g(7+-3)+3) = f(10+3) = f(13) = \frac{13}{2} - \frac{5}{2} = \boxed{4}</math>. | ||
Revision as of 21:40, 4 June 2011
Problem
AoPSWiki:Problem of the Day/June 5, 2011
Solution
This Problem of the Day needs a solution. If you have a solution for it, please help us out by adding it.
First, let's simply the expression 
. We have 
We need to find 
. We know that 
. That implies that 
. Now we know that 
.
