Functions Test ...

The domain of the function $$f(x) =  \dfrac{1} {\sqrt{\left \{ \sin {x} \right \} + \left \{ \sin (\pi + x) \right \}}}$$, where {.} denotes the fractional part, is

Domain (D) and range (R) of $$f(x) = \sin^{-1}\left (\cos^{-1} [x]  \right )$$ where [.] denotes the greatest integer function is 

If f: $$R\rightarrow R$$ be given by $$f(x) = 3 + 4x$$ and $$a_n = A + Bx$$, then which of the following is not true?

g(f(x)) is not defined if

The domain of $$f(x) = \sin^{-1} \left [ 2x^{2} - 3 \right ]$$, where [.]denotes the greatest integer function, is

Let $$f(x)$$ and $$g(x)$$ be differentiable for $$0\times  < 1$$ such that $$f(0)=0, g(0), f(1)=6$$. Let there exist a real number $$c$$ in $$(0,1)$$ such that $$f'(c)=2g'(c)$$, then the value of $$g(1)$$ must be 

If g is the inverse of function $$f$$ and $$f'(x) = \frac{1}{1 + x}$$, then the value of g'(x) is equal to:

Which one of the following is onto function define R to R .

Which of the following in one -one function defined from R to R

Which of the following is onto function-