91Ó°ÊÓ

Let \(f:(e, \infty) \rightarrow R\) be a function defined by \(f(x)=\log (\log (\log x))\), the base of the logarithm being \(e\). Then, (a) \(f\) is one-one and onto (b) \(f\) is one-one but not onto (c) \(f\) is onto but not one-one (d) the range of \(f\) is equal to its domain

The period of \(\sin \frac{\pi[x]}{12}+\cos \frac{\pi[x]}{4}+\tan \frac{\pi[x]}{3}\) where \([x]\) represents the greatest integer less than or equal to \(x\) is (a) 12 (b) 4 (c) 3 (d) 24

If \(f(x)\) and \(g(x)\) are non-periodic functions, then \(h(x)=f(g(x))\) is (a) non-periodic (b) periodic (c) may be periodic (d) always periodic, if domain of \(h(x)\) is a proper subset of real numbers

The period of the function \(f(x)\) which satisfies the relation \(f(x)+f(x+4)=f(x+2)+f(x+6)\) is ......