Relations and F...

Let $$ f : R  \rightarrow R : f(x) = x^2 + 1 $$ Find the range of eqation

Let $$ f : R  \rightarrow R : f (x) = x^2 + 1 $$ . Find the domain of the equation

f,g and h are three function defined from R to R as follows:

Find the domain and range of $$ f(x) = \dfrac {3x -2}{ x+ 2} $$.

Given the function $$f(x) = \frac{a^{x} + a^{-x}} {2} $$ (where $$a > 2$$). Then $$ f(x + y) + f(x - y)$$ =

The function f (x) =$$ \dfrac{4x-x^{2}}{4x-x^{3}} $$ is

If $$ F(n + 1) = \dfrac {2F(n) + 1} {2}, \ \ \  n = 1, 2,.......$$ and f(1) = 2 then f(101) equals

If f is a function such that $$f(0) = 2, f(1) = 3, f(x + 2) = 2f(x) - f(x +1)$$ for every real x, then $$f(5)$$ is

The value of $$f(1003) = \dfrac{1}{k}$$, where $$k$$ equals

If $$f(x + f(y)) = f(x) + y \space  \forall \space x, y \space \epsilon \space R$$ and $$f(0) = 1$$, then the value of $$f(7)$$ is