Determine I) the Domain of the Function, Ii) the Range $$f ( x ) = - 7 x - 4$$

question 16

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.
- $$f ( x ) = - 7 x - 4$$

• A) \(f ( x )\) : \(D = \{ x \mid x > - 7 \} , R\) is all real numbers;
• \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } \mid \mathrm { x } < - 7 \} , R\) is all real numbers
• B) \(f ( x ) : D = \{ x \mid x > - 7 \} , R = \{ y \mid y > - 4 \}\);
• \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } \mid \mathrm { x } < - 7 \} , \mathrm { R } = \{ \mathrm { y } \mid \mathrm { y } < - 4 \}\)
• C) \(f ( x )\) : \(D\) is all real numbers, \(R = \{ y \mid y > - 4 \}\);
• \(\mathrm { f } ^ { - 1 } ( \mathrm { x } )\) : \(\mathrm { D }\) is all real numbers, \(\mathrm { R } = \{ \mathrm { y } \mid \mathrm { y } < - 4 \}\)
• D) \(f ( x )\) : \(D\) 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

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