jee-advanced 2014 Q46

jee-advanced · India · paper1 Function Transformations
Let $f : \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \rightarrow \mathbb{R}$ be given by $$f(x) = (\log(\sec x + \tan x))^3$$ Then
(A) $f(x)$ is an odd function
(B) $f(x)$ is a one-one function
(C) $f(x)$ is an onto function
(D) $f(x)$ is an even function
Let $f : \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \rightarrow \mathbb{R}$ be given by
$$f(x) = (\log(\sec x + \tan x))^3$$
Then\\
(A) $f(x)$ is an odd function\\
(B) $f(x)$ is a one-one function\\
(C) $f(x)$ is an onto function\\
(D) $f(x)$ is an even function