The Function F Is One-To-One $$f ( x ) = \sqrt { 3 - 4 x }$$

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.
- $$f ( x ) = \sqrt { 3 - 4 x }$$

A) $\begin{array}{l}f(x) : D=\left\{x \mid x \leq \frac{3}{4}\right\}, R=\{y \mid y \geq 0\} \\f^{-1}(x) : D=\{x \mid x \geq 0\}, R=\left\{y \mid y \leq \frac{3}{4}\right\}\end{array}$

B)
$f(x) : D=\left\{x \mid x \leq \frac{3}{4}\right\}, R$ is all real numbers;
$\mathrm{f}^{-1}(\mathrm{x}) : \mathrm{D}$ is all real numbers, $R=\left\{y \mid y \leq \frac{3}{4}\right\}$

C) $\begin{array}{c}f(x) : D=\{x \mid x \geq 0\}, R=\{y \mid y \geq 0\} \\f^{-1}(x) : D=\left\{x|x \geq 0\rangle, R=\left\{y \mid y \geq \frac{3}{4}\right\}\right.\end{array}$

D) $$f(x) : D=\left\{x \mid x \leq \frac{3}{4}\right\}, R=\{y \mid y \leq 0\}$$
$f^{-1}(x) : D$ is all real numbers, $R=\left\{y \mid y \leq \frac{3}{4}\right\}$