Find the domain of the function $f(x) = \frac{x^{2}+2x+1}{x^{2}-8x+12}$.

Let $f(x) = \cos(\pi(|x| + 2[x]))$,where $[.]$ represents the greatest integer function. Then:

$A$ real-valued function $f: A \rightarrow B$ defined by $f(x) = \frac{4-x^2}{4+x^2}$ for all $x \in A$ is a bijection. If $-4 \in A$,then $A \cap B =$

The range of the real valued function $f(x) = \sqrt{9-x^2}$ is

Let $f: R - \{2, 6\} \rightarrow R$ be a real-valued function defined as $f(x) = \frac{x^2+2x+1}{x^2-8x+12}$. Then the range of $f$ is

Range of the function $f(x) = 3 + 2^x + 4^x$ is