MonotonicityHard
Question
If f(x) = a{a| x | sgn x} ; g(x) = a[a| x | sng x] for a > 0, a ≠ 1 and x ∈ R, where {} & [ ] denote the fractional part and integral part functions respectively, then which of the following state ments holds good for the function h (x), where
(lna) h (x) = (ln f(x) + ln g(x)).
(lna) h (x) = (ln f(x) + ln g(x)).
Options
A.′h′ is even and increasing
B.′h′ is odd and decreasing
C.′h′ is even and decreasing
D.′h′ is odd and increasing