f : R → R given by f(x)=x+ x^2 is: - Vidyadip

MCQ

f : R → R given by $\text{f(x)}=\text{x}+\sqrt{\text{x}^2}$ is:

A
Injective.
B
Surjective.
C
Bijective.
✓
None of these.

✓

Answer

Correct option: D.

None of these.

$\text{f(x)}=\text{x}+\sqrt{\text{x}^2}=\text{x}\pm\text{x}=0\text{ or }2\text{x}$

⇒ Each element of the domain has 2 images.

f is not a function.

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