Determine I) the Domain of the Function, Ii) the Range $$f ( x ) = \frac { 3 } { x - 1 }$$

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of
the inverse.
- $$f ( x ) = \frac { 3 } { x - 1 }$$

A) $f ( x ) : D = \{ x \mid x \neq - 3 \} , R = \{ y | y \neq 1 \rangle$ ;
$\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } | \mathrm { x } \neq 1 \rangle , R = \{ \mathrm { y } \mid \mathrm { y } \neq - 3 \}$

B) $f ( x )$ : D is all real numbers, $R = \{ y | y \neq - 3 \rangle$ ;
$\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } \mid \mathrm { x } \neq - 3 \} , \mathrm { R }$ is all real numbers

C) $f ( x ) : D = \{ x \mid x \neq 1 \} , R = \{ y \neq 0 \}$ ;
$$\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } \mid \mathrm { x } \neq 0 \} , \mathrm { R } = \{ \mathrm { y } \mid \mathrm { y } \neq 1 \}$$

D) $f ( x )$ : $D$ is all real numbers, $R$ is all real numbers;
$f ^ { - 1 } ( x )$ : $D$ is all real numbers, $R$ is all real numbers