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Standard XII
Maths
Question

Let f(x)=e{e|x|sgnx} and g(x)=e[e|x|sgnx], x∈R, where {} and [ ] denote the fractional and integral part functions, respectively. Also h(x)=log(f(x))+log(g(x)). Then for real x, h(x) is
  1. an odd function
  2. an even function
  3. neither an odd nor an even function
  4. both odd and even function

A
an odd function
B
both odd and even function
C
an even function
D
neither an odd nor an even function
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