Determine I) the Domain of the Function, Ii) the Range $$f ( x ) = \frac { 3 } { x - 1 }$$

question 352

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.
- $$f ( x ) = \frac { 3 } { x - 1 }$$

• A) \(f ( x ) : D = \{ x \mid x \neq - 3 \} , R = \{ y | y \neq 1 \rangle\);
• \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } | \mathrm { x } \neq 1 \rangle , R = \{ \mathrm { y } \mid \mathrm { y } \neq - 3 \}\)
• B) \(f ( x )\) : D is all real numbers, \(R = \{ y | y \neq - 3 \rangle\);
• \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } \mid \mathrm { x } \neq - 3 \} , \mathrm { R }\) is all real numbers
• C) \(f ( x ) : D = \{ x \mid x \neq 1 \} , R = \{ y \neq 0 \}\);
• \[\mathrm { f } ^ { - 1 } ( \mathrm { x } ) : \mathrm { D } = \{ \mathrm { x } \mid \mathrm { x } \neq 0 \} , \mathrm { R } = \{ \mathrm { y } \mid \mathrm { y } \neq 1 \}\]
• D) \(f ( x )\) : \(D\) is all real numbers, \(R\) is all real numbers;
• \(f ^ { - 1 } ( x )\) : \(D\) is all real numbers, \(R\) is all real numbers

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