Find the Indicated Function and Write Its Domain in Interval $$f ( x ) = \frac { 9 } { x ^ { 2 } - 11 } , g ( x ) = \sqrt { 4 - x } , ( f \circ g ) ( x ) = ?$$

question 138

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $$f ( x ) = \frac { 9 } { x ^ { 2 } - 11 } , g ( x ) = \sqrt { 4 - x } , ( f \circ g ) ( x ) = ?$$

• A) \(- \frac { 9 } { x + 7 } ; ( - \infty , - 7 ) \cup ( - 7 , \infty )\)
• B) \(- \frac { 9 } { x + 7 } ; ( - \infty , - 7 ) \cup ( - 7,4 ]\)
• C) \(\frac { 9 \sqrt { 4 - x } } { x ^ { 2 } - 11 } ; ( - \infty , \sqrt { 11 } ) \cup ( \sqrt { 11 } , 4 ]\)
• D) \(\frac { 9 \sqrt { 4 - x } } { x ^ { 2 } - 11 } ; ( - \infty , \sqrt { 11 } ) \cup ( \sqrt { 11 } , \infty )\)

---

Definitions:

Personality Variables

Traits or characteristics that vary across individuals and can influence behavior and attitudes.

Predicted

Refers to the anticipated outcome or results based on observation, theory, or previous data.

Motivations

Motivations are the underlying forces, desires, or needs that drive individuals to act in certain ways and pursue goals.

Goals

Objectives or outcomes that an individual or organization is trying to achieve.