Functions Test ...

If $$f(x)=\dfrac{x+1}{x-1}$$ and $$g(x)=2x-1, f[g(x)]=$$

If $$\left\{ \left( 7,11 \right) ,\left( 5,a \right)  \right\} $$ represents a constant function, then the value of '$$a$$' is :

The number of onto functions from the set $$\{1, 2, .........., 11\}$$ to set $$\{1, 2, ....., 10\}$$ is

If $$f(x) = \log_{e}\left (\dfrac {1 + x}{1 - x}\right ), g(x) = \dfrac {3x + x^{3}}{1 + 3x^{2}}$$ and $$go f(t) = g(f(t))$$, then what is $$go f\left (\dfrac {e - 1}{e + 1}\right )$$ equal to?

The number of real linear functions $$f(x)$$ satisfying $$f(f(x))=x+f(x)$$ is

Consider the function $$f(x)=\displaystyle\frac{x-1}{x+1}$$. What is $$f(f(x))$$ equal to?

Let N denote the set of all non-negative integers and Z denote the set of all integers. The function $$ f : Z \rightarrow N$$ given by f(x) = |x| is :

If $$f:[0, \infty)\to [0,\infty)$$ and $$f(x) = \dfrac{x}{1+x}$$, then $$f$$ is 

Let $$f(x)=\dfrac{x+1}{x-1}$$ for all $$x \neq 1$$. 

Let $$M$$ be the set of all $$2 \times 2$$ matrices with entries from the set of real numbers $$R$$. Then the function $$ f : M \rightarrow R$$ defined by $$f\left( A \right) =\left| A \right|$$ for every $$ A\in M$$, is