# Your Approach Should be Optimum

Algebra Level 4

If $$f(x) ={(x+1)}^{ 2 }\div( x ^{ 2 }+3)$$ and maximum value of $$f(x)=a/b$$ where a and b are co-prime positive integers, what is $$a+b$$?

###### This is my first question on Brilliant.
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