Find the Indicated Function and Write Its Domain in Interval $$s ( x ) = \frac { x - 2 } { x ^ { 2 } - 64 } , t ( x ) = \sqrt { x + 8 } , ( s \cdot t ) ( x ) = ?$$

question 84

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $$s ( x ) = \frac { x - 2 } { x ^ { 2 } - 64 } , t ( x ) = \sqrt { x + 8 } , ( s \cdot t ) ( x ) = ?$$

• A) \(\frac { ( x - 2 ) } { ( x + 8 ) ( x - 8 ) \sqrt { x + 8 } } ; ( - 8,2 ) \cup ( 2,8 ) \cup ( 8 , \infty )\)
• B) \(\frac { ( x - 2 ) \sqrt { x + 8 } } { ( x + 8 ) ( x - 8 ) } ; ( - 8,8 ) \cup ( 8 , \infty )\)
• C) \(\frac { ( x - 2 ) \sqrt { x + 8 } } { ( x + 8 ) ( x - 8 ) } ; ( - 8,2 ) \cup ( 2,8 ) \cup ( 8 , \infty )\)
• D) \(\frac { ( x - 2 ) } { ( x + 8 ) ( x - 8 ) \sqrt { x + 8 } } ; ( - 8,8 ) \cup ( 8 , \infty )\)

---

Definitions:

Family

A social group typically consisting of parents and children living together or a group of people related by blood or marriage.

Civil Right Act of 1964

A landmark civil rights law in the United States that outlawed discrimination based on race, color, religion, sex, or national origin, particularly in voter registration and employment.

Sexual orientation discrimination

Unfair treatment or prejudice against individuals based on their sexual orientation, violating the principle of equality.

Harassment lawsuit

Legal action initiated because of unwelcome and discriminatory conduct in the workplace or other environments, leading to a hostile setting.