The largest interval lying in (-\frac{\pi}{2}, \frac{\pi}{2}) for which the function f(x)=4^{-x^2}+\cos ^{-1} (\frac{x}{2}-1) +\log (\cos x), is defined, is [AIEEE 2007]

[-\frac{\pi}{4}, \frac{\pi}{2})

(-\frac{\pi}{2}, \frac{\pi}{2})

Functions Part 1

Section: Mathematics

Question : 87 of 100

Marks: +1, -0

The largest interval lying in (−‌

,‌

) for which the function
f(x)=4−x2+cos−1(‌

−1)+log(cos‌x),
is defined, is

[AIEEE 2007]

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