The domain of the function f(x)=esin−1⁡log16⁡x2 is

f (x) is defined if−1≤log16⁡x2≤1⇒16−1≤x2≤161⇒116≤x2≤16 x2≥116⇒x−14x+14≥0⇒x≤−14 or x≥14   ........(1) x2≤16⇒(x−4)(x+4)≤0⇒−4≤x≤4    .......(2)From Eq. (1) and (2), we get domain of f=−4,−14∪14,4