For the Pair of Functions, Determine the Domain of F $$f ( x ) = 3 x - 9 , g ( x ) = \frac { 5 } { x + 7 }$$

question 61

Multiple Choice

For the pair of functions, determine the domain of f + g.
- $$f ( x ) = 3 x - 9 , g ( x ) = \frac { 5 } { x + 7 }$$

• A) \(( 0 , \infty )\)
• B) \(( \infty , - 7 )\) or \(( - 7 , \infty )\)
• C) \(( \infty , \infty )\)
• D) \(( \infty , - 5 )\) or \(( - 5 , \infty )\)

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Definitions:

Contrapositive

In logic, the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.

Complements

Elements that complete or go well together, enhancing each other's qualities.

Predicate

The portion of a sentence or proposition that asserts something about the subject, often containing the verb and object.

Allergic Reaction

An immune system response to a foreign substance (allergen) that is not typically harmful to the body.