The function f x = log x + x 2 + 1 is

Question

The function f x = log x + x 2 + 1 is, An odd function, A periodic function, Neither an even nor an odd function, An even function

MARKS App · Accepted Answer

f - x = log - x + x 2 + 1 = log - x + x 2 + 1 x + x 2 + 1 × x + x 2 + 1 = log - x 2 + x 2 + 1 x + x 2 + 1 = log 1 x + x 2 + 1 = - log x + x 2 + 1 = - f x ⇒ f - x + f x = 0 Hence, f x is an odd function.

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