First slide

Functions (XII)

Question

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

Moderate

A

even
B

odd
C

constant
D

None of these

Solution

Since the function sec x is an even function and $\log (x + \sqrt{1 + x^{2}})$ is an odd function, therefore the function sec $[\log (x + \sqrt{1 + x^{2}})]$ is an even function.

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