Determine I) the Domain of the Function, Ii) the Range $$f ( x ) = - 7 x - 4$$

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.
- $$f ( x ) = - 7 x - 4$$

A) $f ( x )$ : $D = \{ x \mid x > - 7 \} , R$ is all real numbers;
$\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } \mid \mathrm { x } < - 7 \} , R$ is all real numbers

B) $f ( x ) : D = \{ x \mid x > - 7 \} , R = \{ y \mid y > - 4 \}$ ;
$\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } \mid \mathrm { x } < - 7 \} , \mathrm { R } = \{ \mathrm { y } \mid \mathrm { y } < - 4 \}$

C) $f ( x )$ : $D$ is all real numbers, $R = \{ y \mid y > - 4 \}$ ;
$\mathrm { f } ^ { - 1 } ( \mathrm { x } )$ : $\mathrm { D }$ is all real numbers, $\mathrm { R } = \{ \mathrm { y } \mid \mathrm { y } < - 4 \}$

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