Determine the Domain of the Function $f ( x ) = \frac { x ^ { 3 } + 8 x ^ { 4 } } { x ^ { 2 } + 25 }$

question 16

Multiple Choice

Determine the domain of the function.
- $f ( x ) = \frac { x ^ { 3 } + 8 x ^ { 4 } } { x ^ { 2 } + 25 }$

• A) \(\left\{ x \mid x \neq 0 \text { and } x \neq - \frac { 1 } { 8 } \right\}\)
• B) \(\{ x \mid x \neq - 5 \}\)
• C) \(\{ x \mid x \neq - 25 \}\)
• D) \(\{ \mathrm { x } \mid \mathrm { x } \text { is a real number } \}\)

---

Definitions:

Symbolic Self-completion

A theory that individuals strive to achieve and maintain self-definitions, and when they feel incomplete in a certain role, they seek symbols that represent success in that area.

Social Comparison

The process of evaluating oneself by comparison with others, often in terms of abilities, achievements, and social status.

Sociometer Model

The idea that a basic function of self-esteem is to indicate to the individual how much he or she is accepted by other people.

Individualist Cultures

Societies that prioritize the needs and goals of the individual over the group.