Find the Indicated Function and Write Its Domain in Interval $$s ( x ) = \frac { x - 5 } { x ^ { 2 } - 49 } , t ( x ) = \frac { x - 7 } { 5 - x } , ( s \cdot t ) ( x ) = ?$$

question 53

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $$s ( x ) = \frac { x - 5 } { x ^ { 2 } - 49 } , t ( x ) = \frac { x - 7 } { 5 - x } , ( s \cdot t ) ( x ) = ?$$

• A) \(- \frac { 1 } { x + 7 } ; ( - \infty , - 7 ) \cup ( 7 , \infty )\)
• B) \(\frac { 1 } { 7 - x } ; ( - \infty , - 7 ) \cup ( - 7,5 ) \cup ( 5,7 ) \cup ( 7 , \infty )\)
• C) \(\frac { 1 } { 7 - x } ; ( - \infty , 7 ) \cup ( 7 , \infty )\)
• D) \(- \frac { 1 } { x + 7 } ; ( - \infty , - 7 ) \cup ( - 7,5 ) \cup ( 5,7 ) \cup ( 7 , \infty )\)

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Definitions:

Expanded Accounting Equation

An extension of the basic accounting equation that includes components such as owner's equity, retained earnings, and dividends.

Beginning Balances

The balances of accounts at the start of a new accounting period, carried over from the end of the prior period.

Transactions

Financial events that affect the financial position of a company, measurable in terms of changes in assets, liabilities, and equity.

Statement Of Owner's Equity

A financial statement that shows the changes in the ownership interest of a company over a period of time.