若定义在\(R\)上的函数\(f(x)\) 满足\(f(0)=-1\) ,其导函数\(f{{"}}(x)\) 满足\(f{{{"}}}(x) > k > 1 \) ,则下列结论中一定错误的是\((\) \()\)
A. \(f\left( \dfrac{1}{k}\right) < \dfrac{1}{k} \)
B. \(f\left( \dfrac{1}{k}\right) > \dfrac{1}{k-1} \) C. \(f\left( \dfrac{1}{k-1}\right) < \dfrac{1}{k-1} \) D. \(f\left( \dfrac{1}{k-1}\right) > \dfrac{1}{k-1} \)