Given below are two statements: Statement I: The function f: R → R defined by f(x)=x/(1+|x|) is one-one. Statement II: The function f: R → R defined…

Given below are two statements : Statement I: The function $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$ defined by $\displaystyle f(x)=\frac{x}{1+|x|}$ is one-one. Statement II : The function $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$ defined by $\displaystyle f(x)=\frac{x^2+4 x-30}{x^2-8 x+18}$ is many-one. In the light of the above statements, choose the correct answer from the options given below :