# Functions, with inequality

Algebra Level 2

It is given that $$f(x)$$ is a function defined on $$R$$, satisfying $$f(1)=1$$, and for any $$x\in R$$,

$$f(x+5)\geq f(x)+5$$

$$f(x+1)\leq f(x)+1$$

If $$g(x)=f(x)+1-x$$, what is the value of $$g(2014)$$?

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