# Swapping in and out

Algebra Level 1

If $$f(x)=x+\frac{1}{x}$$ and $$g(x)=x-\frac{1}{x}$$, $$f \big( g(3) \big) = \frac{a}{b}$$, where $$a$$ and $$b$$ are positive, coprime integers. What is $$a+b$$?

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