Let `f(x)=(x-[x])/(x-[x]+1)`, ([.] is G.I.F.) is a real valued function then range of f(x) is

If g(x)=log_(f^(2)(x))((f(x)-1)/(f(x)-2))+(3f(x)-3)^(20)+sin^(-1)((f(x))/(7))+sqrt(cos(sin f(x)))) where f(x) is a real valued function,then the range of f(x) for which g(x) is defined.

If f(x)=x^(2) is a real function, find the value of f(1).

If f(x) is a real valued function defined as f(x)=In(1-sin x) then graph of f(x) is

Let f (x), g(x) be two real valued functions then the function h(x) =2 max {f(x)-g(x), 0} is equal to :

Let f(x) and g(x) be two real valued functions then |f(x) - g(x)| le |f(x)| + |g(x)| Let f(x) = x-3 and g(x) = 4-x, then The number of solution(s) of the above inequality for x lt 3 is

Let f(x) and g(x) be two real valued functions then |f(x) - g(x)| le |f(x)| + |g(x)| Let f(x) = x-3 and g(x) = 4-x, then The number of solution(s) of the above inequality for 3 lt x lt 4

Let f(x) and g(x) be two real valued functions then |f(x) - g(x)| le |f(x)| + |g(x)| Let f(x) = x-3 and g(x) = 4-x, then The number of solution(s) of the above inequality when x ge 4 is

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1+x) then (1) g(x) is an odd function (2)g(x) is an even function (3) graph of f(x) is symmetrical about the line x=1 (4) f'(1)=0

Let f(x)=tan xandg(f(x))=f(x-(pi)/(4)) where f(x)andg(x) are real valued functions. Prove that f(g(x))=tan((x+1)/(x+1))

Let f(x)=(x^(2)+1)/([x]) , 1lexlesqrt(10) .Then (where [ .] denotes the G.I.F) range of f(x)