Question

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

• A. odd
• B. even
• C. neither odd nor even
• D. constant

Answer 1

Answer: (B)

even

Answer 2

$f(x)=\sec \left(\ln \left(x+\sqrt{1+x^{2}}\right)\right)$
$=\sec x$ (odd function)
$=$ even function
$\because \sec x$ is an even function.