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

Question

Given below are two statements:

Statement I:
The function $$f:\mathbb{R}	o\mathbb{R}$$ defined by
$$ f(x)=\frac{x}{1+|x|} $$
is one-one.

Statement II:
The function $$f:\mathbb{R}	o\mathbb{R}$$ 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.

Accepted Answer

B. Both Statement I and Statement II are true

Answer

A. Statement I is true but Statement II is false

Answer

C. Statement I is false but Statement II is true

Answer

D. Both Statement I and Statement II are false

Answer & step-by-step solution