Determine the Domain of the Function $f ( x ) = \frac { 5 x - 8 } { x ^ { 2 } - 49 }$

question 111

Multiple Choice

Determine the domain of the function.
- $f ( x ) = \frac { 5 x - 8 } { x ^ { 2 } - 49 }$

• A) \(\left\{ x \mid x \neq \frac { 8 } { 5 } \right\}\)
• B) \(\{ x \mid x \neq 7 \text { and } x \neq - 7 \}\)
• C) \(\{ x \mid x \neq 7 \}\)
• D) \(\{ x \mid x \neq 49 \}\)

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Definitions:

Fundamentalists

Interpret their scriptures literally, seek to establish a direct, personal relationship with the higher being(s) they worship, and are relatively intolerant of nonfundamentalists.

Personal Relationship

A close, intimate, or familial connection between two or more individuals characterized by affection, trust, and mutual respect.

Religious Authority

The power or right attributed to leaders or institutions to dictate religious beliefs, practices, and enforce moral codes.

Rationalism

A philosophy that emphasizes reason and knowledge as the primary sources of authority and truth, often disregarding emotional or religious beliefs.