设函数 f(x)={x+1,x≤0,2x,x>0,f\left( x\right) = \left\{ \begin{array}{ll} x + 1, & x \leq 0, \\ {2}^{x}, & x > 0, \end{array}\right.f(x)={x+1,2x,x≤0,x>0, 则满足 f(x)+f(x−12)>1f\left( x\right) + f\left( {x - \frac{1}{2}}\right) > 1f(x)+f(x−21)>1 的 xxx 的取值范围是___.