The function f(x) = log (x + √(x^{2} +1)) is

- an even function
- an odd function
- neither an even nor an odd function
- a periodic function

**Solution**

f(x) = log(x + √(x^{2} + 1))

f(-x) = -log(x + √(x^{2} + 1))

f(-x) = -f(x)

**The correct option is B.**

The function f(x) = log (x + √(x^{2} +1)) is

- an even function
- an odd function
- neither an even nor an odd function
- a periodic function

**Solution**

f(x) = log(x + √(x^{2} + 1))

f(-x) = -log(x + √(x^{2} + 1))

f(-x) = -f(x)

**The correct option is B.**