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

question 89

Multiple Choice

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

• A) \[
• f(x): D=\left\{x \mid x \geq-\frac{4}{5}\right\}, R=\{y \mid y \geq 0\}
• \]
• \( f^{-1}(x): D \) is all real numbers, \( R=\left\{y \mid y \geq-\frac{4}{5}\right\} \)
• B) \(f ( x ) : D = \left\{ x \mid x \geq - \frac { 4 } { 5 } \right\} , R = \{ y \mid y \geq 0 \}\); \(\mathrm { f } ^ { - 1 } ( \mathrm { x } )\) : \(\mathrm { D }\) is all real numbers, \(\mathrm { R } = \left\{ \mathrm { y } \mid \mathrm { y } \geq - \frac { 4 } { 5 } \right\}\) \(\mathrm { f } - 1 ( \mathrm { x } ) : \mathrm { D } = \left\{ \mathrm { x } | \mathrm { x } \geq 0 \rangle , \mathrm { R } = \left\{ \mathrm { y } \mid \mathrm { y } \geq - \frac { 4 } { 5 } \right\} \right.\)
• C) \(f ( x ) : D = \left\{ x \mid x \geq - \frac { 4 } { 5 } \right\} , R\) is all real numbers;
• \(f^{-1}(x): D \text { is all real numbers, } R=\left\{y \mid y \geq-\frac{4}{5}\right\}\)
• D)
• \(\begin{array}{l}
• f(x): D=\{x \mid x \geq 0\}, R=\{y \mid y \geq 0\} \\
• f^{-1}(x): D=\{x \mid x \geq 0\}, R=\left\{y \mid y \geq-\frac{4}{5}\right\}
• \end{array}\)

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