One-One and Many-One Functions (Jee Mains)

Functions

Medium

One-One and Many-One Functions

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

SELECT ONE OPTION