If `f(x)= a^({a^(|x|)sgn x }),g(x)=a^([a^(|x|)sgn x]` for ` a gt 1, a!=1` and ` x in R`, where `{**}` & `[**]` denote the fractional part and integral part functions respectively, then which of the following statements holds good for the function `h(x)`, where `(ln a) h(x) = (ln f(x) + ln g(x))`.

If f(x)={x}&g(x)=[x] (where {.}&[.] denotes the fractional part and the integral part functionsrespectively),then discuss the continuity of

Let f(x)=e^(e^(|x|sgnx))a n dg(x)=e^(e^(|x|sgnx)),x in R , where { } and [ ] denote the fractional and integral part functions, respectively. Also, h(x)=log(f(x))+log(g(x))dot Then for real x , h(x) is (a)an odd function (b)an even function (c)neither an odd nor an even function (d)both odd and even function

The range of function f(x)=log_(x)([x]), where [.] and {.} denotes greatest integer and fractional part function respectively

If f(x)=sgn(x^(5)), then which of the following is/are false (where sgn denotes signum function)

The domain of function f(x)=ln(ln((x)/({x}))) is (where { ) denotes the fractional part function)

If f (x) =[ln (x)/(e) +[ln (e)/(x)], where [.] denotes greatest interger function, the which of the following are ture ?

The domain of function f(x)=ln(ln((x)/({x}))) is (where f ) denotes the fractional part function

The domain of function f(x)=ln(ln((x)/({x}))) is (where f ) denotes the fractional part function

Domain of function f(x)=ln(x), where {} represents fractional part function.