Find the Domain of the Function $$f ( x ) = \frac { 1 } { x } + \frac { 1 } { x + 1 }$$

question 77

Multiple Choice

Find the domain of the function. $$f ( x ) = \frac { 1 } { x } + \frac { 1 } { x + 1 }$$

• A) \(( - \infty , 0 )\)
• B) \(( - \infty , - 1 ) \cup ( - 1,0 ) \cup ( 0 , \infty )\)
• C) \(( - \infty , - 1 ) \cup ( - 1,0 )\)
• D) \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• E) none of these

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Definitions:

Compound

A chemical substance made up of two or more different elements that are chemically bonded together in a fixed ratio.

Dimethylheptanoic Acid

denotes a hypothetical organic compound, potentially misnamed, suggesting a heptanoic acid derivative substituted with two methyl groups.

γ-hydroxypentanoic Acid

An organic compound characterized by a five-carbon chain with a hydroxyl group attached to the third carbon and a carboxylic acid group at the end.

γ-hydroxy-γ-methylbutyric Acid

An organic compound, structurally related to β-hydroxy-β-methylbutyrate (HMB), and is involved in the biosynthesis and metabolism of fatty acids.