Write the Domain in Interval Notation $$f ( x ) = \log _ { 9 } \left( \frac { x - 5 } { x + 8 } \right)$$

question 276

Multiple Choice

Write the domain in interval notation.
- $$f ( x ) = \log _ { 9 } \left( \frac { x - 5 } { x + 8 } \right)$$

• A) \(( - \infty , \infty )\)
• B) \(( - 8,5 ]\)
• C) \(( - 8,5 )\)
• D) \(( - \infty , - 8 ) \cup ( 5 , \infty )\)

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Definitions:

Isotope

Atoms of the same element that have different numbers of neutrons, resulting in different masses but similar chemical properties.

Neutrons

Electrically neutral subatomic particles found in the nucleus of an atom, contributing to the atomic mass but not the atomic charge.

Protons

Positively charged particles found in the nucleus of an atom, contributing to the atom's mass and defining its element by determining the atomic number.