The range of the function $$f(x) = {\log _e}\sqrt {4 - {x^2}} $$ is given by

The function $$f(x) = \log \left( {{{1 + x} \over {1 - x}}} \right)$$ satisfies the equation

The equation e^x + x $$-$$ 1 = 0 has, apart from x = 0

A mapping from IN to IN is defined as follows:

$$f:IN \to IN$$

$$f(n) = {(n + 5)^2},\,n \in IN$$

(IN is the set of natural numbers). Then