Relations Functions

The function f(x) = log (x + √(x2 +1)) is

  1. an even function
  2. an odd function
  3. neither an even nor an odd function
  4. a periodic function

Solution

f(x) = log(x + √(x2 + 1))

f(-x) = -log(x + √(x2 + 1))

f(-x) = -f(x)

The correct option is B.