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

question 26

Multiple Choice

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

• A) \(\left\{ x \mid x \neq - \frac { 5 } { 2 } , 1 \right\}\)
• B) \(\left\{ x \mid x \neq \frac { 2 } { 5 } , - 1 \right\}\)
• C) \(\left\{ x \mid x \neq \frac { 5 } { 2 } , - 1 \right\}\)
• D) \(\left\{ x \mid x \neq - \frac { 2 } { 5 } , 1 \right\}\)

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Definitions:

Dissolved Gas

A gas that has been absorbed into a liquid solution, such as carbon dioxide in water, often influencing chemical reactions and physical properties.

Andesite

A volcanic rock type that is intermediate in composition between basalt and rhyolite, often found in volcanic arcs associated with convergent tectonic boundaries.

Alpha Decay

The radioactive decay process in which an unstable atom fissions, releasing a positively charged particle with two protons and two neutrons.

Radioactive Decay

The method through which an unstable atomic nucleus releases energy through the emission of radiation.