The function f(x) = (x + x^2 + 1 ), is - Vidyadip

MCQ

The function $f(x) = \log (x + \sqrt {{x^2} + 1} )$, is

A
An even function
✓
An odd function
C
A Periodic function
D
Neither an even nor odd function

✓

Answer

Correct option: B.

An odd function

b
(b) $f(x) = \log (x + \sqrt {{x^2} + 1} )$

and $f( - x) = - \log (x + \sqrt {{x^2} + 1} )$$ = - f(x)$

$f(x)$ is odd function.

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