Determine I) the Domain of the Function, Ii) the Range $$f ( x ) = \sqrt { 5 + 4 x }$$

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.
- $$f ( x ) = \sqrt { 5 + 4 x }$$

A) $\begin{array}{l}f(x) : D=\{x \mid x \leq 0\}, R=\{y|y \leq 0\rangle \\f^{-1}(x) : D=\left\{x|x \leq 0\rangle, R=\left\{y \mid y \leq-\frac{5}{4}\right\}\right.\end{array}$

B) $\begin{array}{l}f(x) : D=\left\{x \mid x \geq-\frac{5}{4}\right\}, R=\{y \mid y \geq 0\} \\\mathrm{f}^{-1}(\mathrm{x}) \text { : D is all real numbers, } \mathrm{R}=\left\{y \mid \mathrm{y} \geq-\frac{5}{4}\right\}\end{array}$

C) $\begin{array}{l}f(x) : D=\left\{x \mid x \geq-\frac{5}{4}\right\}, R=\{y \mid y \geq 0\} \\f^{-1}(x) : D=\{x \mid x \geq 0\}, R=\left\{y \mid y \geq-\frac{5}{4}\right\}\end{array}$

D) $f(x) : D=\left\{x \mid x \geq-\frac{5}{4}\right\}, R$ is all real numbers; $f^{-1}(x) : D$ is all real numbers, $R=\left\{y \mid y \geq-\frac{5}{4}\right\}$