The Function F Is One-To-One $$f ( x ) = - 4 x + 5$$

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.
- $$f ( x ) = - 4 x + 5$$

A) $f(x)$ : D is all real numbers, $R=\{y \mid y>5\}$ ;
$f^{-1}(x)$ : $D$ is all real numbers, $R=\{y \mid y<5\}$

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


D) $f ( x ) : D = \{ x \mid x > - 4 \} , R = \{ y \mid y > 5 \}$ ;
$$f ^ { - 1 } ( x ) : D = \{ x \mid x < - 4 \} , R = \{ y \mid y < 5 \}$$