The Function F Is One-To-One $$f ( x ) = \frac { 3 } { x + 1 }$$

Multiple Choice

The function f is one-to-one. State the domain and the range of f and f^-1. Write the domain and range in set-builder
notation.
- $$f ( x ) = \frac { 3 } { x + 1 }$$

A) $f ( x ) : D = \{ x \mid x \neq - 1 \} , R = \{ y \neq 0 \}$ ;
$$f ^ { - 1 } ( x ) : D = \{ x \mid x \neq 0 \} , R = \{ y \mid y \neq - 1 \}$$
B) $f ( x )$ : D is all real numbers, $R = \{ y | y \neq 3 \rangle$ ;
$f ^ { - 1 } ( x ) : D = \{ x \mid x \neq 3 \} , R$ is all real numbers

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

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