Find the Indicated Function and Write Its Domain in Interval $s ( x ) = \frac { x - 2 } { x ^ { 2 } - 9 } , t ( x ) = \frac { x - 3 } { 2 - x } , ( s + t ) ( x ) = ?$

question 242

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $s ( x ) = \frac { x - 2 } { x ^ { 2 } - 9 } , t ( x ) = \frac { x - 3 } { 2 - x } , ( s + t ) ( x ) = ?$

• A) \(\frac { x ^ { 3 } - 2 x ^ { 2 } - 13 x + 31 } { ( x + 3 ) ( x - 3 ) ( x - 2 ) } ; ( - \infty , - 3 ) \cup ( - 3,2 ) \cup ( 2,3 ) \cup ( 3 , \infty )\)
• B) \(\frac { x ^ { 3 } - 2 x ^ { 2 } - 13 x + 31 } { ( x + 3 ) ( x - 3 ) ( x - 2 ) } ; ( - \infty , - 3 ) \cup ( 3 , \infty )\)
• C) \(- \frac { x ^ { 3 } - 4 x ^ { 2 } - 5 x + 23 } { ( x + 3 ) ( x - 3 ) ( x - 2 ) } ; ( - \infty , - 3 ) \cup ( - 3,2 ) \cup ( 2,3 ) \cup ( 3 , \infty )\)
• D) \(- \frac { x ^ { 3 } - 4 x ^ { 2 } - 5 x + 23 } { ( x + 3 ) ( x - 3 ) ( x - 2 ) } ; ( - \infty , - 3 ) \cup ( 3 , \infty )\)

---

Definitions:

Regular Time Cost

The expense incurred from labor during normal working hours, excluding overtime or premium pay rates.

Over Time Cost

Additional expenses incurred for labor or operations that extend beyond the regular working hours, often at higher rates.

Supply Chain

The network of individuals, organizations, resources, activities, and technology involved in the creation and sale of a product, from the delivery of source materials from the supplier to the manufacturer, and on to its final customer.

Demand Impact

The effect that changes in demand have on the business operations, supply chain, or the market as a whole.