Functions Test ...

The function $$f(x)= \dfrac{(3^{x}-1^{})^2}{\sin x. \ln(1+x)}, x\neq 0 $$ , is continuous at $$x=0$$. Then the value of $$f(0)$$ is 

The domain of the function $$f(x) = \frac {1} {\sqrt {^{10}C_{x - 1} - 3 \times ^{10} C_x}}$$ contains the points

The domain of $$ f(x) = \cos^{-1} \left ( \frac{2 - |x|} {4} \right ) + \left [ log (3 - x) \right ]^{-1}$$ is

The domain of the function $$f(x) = \sqrt{ log \left (\frac{1} {|\sin x| } \right)}$$ is 

The domain of $$f(x)  = \log| \log {x}|$$ is 

Which of the following is not true about $$h_1(x)$$?

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?

Consider two functions $$f(x) = \begin{cases} [x],       -2 \leq x \leq -1\\ |x| + 1,      -1 < x \leq 2 \end{cases}$$ and  g(x) = \begin{cases} [x],   -\pi \leq x < 0 \\ sin x,    0 \leq x \leq \pi \end{cases} where [.] denotes thegreatest integer function

The exhaustive domain of g(f(x)) is

Let $$g(x) = f(x) - 1$$. If $$f(x) + f(1 - x) = 2 \space \forall \space x \space \epsilon \space R$$, then $$g(x)$$ is symmetrical about