Find the Domain of the Rational Function $$f ( x ) = \frac { - 2 x ( x + 2 ) } { 5 x ^ { 2 } - 3 x - 8 }$$

question 167

Multiple Choice

Find the domain of the rational function.
- $$f ( x ) = \frac { - 2 x ( x + 2 ) } { 5 x ^ { 2 } - 3 x - 8 }$$

• A) \(\left\{ x \mid x \neq - \frac { 5 } { 8 } , 1 \right\}\)
• B) \(\left\{ x \mid x \neq \frac { 5 } { 8 } , - 1 \right\}\)
• C) \(\left\{ x \mid x \neq - \frac { 8 } { 5 } , 1 \right\}\)
• D) \(\left\{ x \mid x \neq \frac { 8 } { 5 } , - 1 \right\}\)

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Definitions:

1-Bromopentane

An alkyl halide with the formula C5H11Br, used in organic synthesis as an alkylating agent.

Bromocyclopentane

An organic compound featuring a cyclopentane ring with a bromine atom attached, used in various synthesis and organometallic reactions.

Monobromination

The chemical process of introducing one bromine atom into an organic molecule.

Monobrominated Product

A chemical compound resulting from the substitution of a hydrogen atom in an organic molecule with one bromine atom.