Determine the X Values That Cause the Function to Be $$f ( x ) = \frac { 3 x - 4 } { ( x + 6 ) \sqrt { x - 5 } }$$

question 463

Multiple Choice

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative.
- $$f ( x ) = \frac { 3 x - 4 } { ( x + 6 ) \sqrt { x - 5 } }$$

• A) (a) \(\varnothing\), (b) \((\infty , 5 )\), (c) \(\varnothing\), (d) \(( 5 , \infty )\)
• B) (a) \(\left\{ \frac { 4 } { 3 } \right\} \left( \right.\) b) \(\{ - 6,5 \}\), (c) \(\left( - 6 , \frac { 4 } { 3 } \right) \cup \left( \frac { 5 } { 3 } , \infty \right)\), (d) \((\infty , - 6 ) \cup \left( \frac { 4 } { 3 } , 5 \right)\)
• C) (a) \(\varnothing\), (b) \(( - 5,5 )\), (c) \(( 5 , \infty )\), (d) \(\varnothing\)
• D) (a) \(\left\{ \frac { 4 } { 3 } \right\}\) (b) \(\{ - 6,5 \} , \left( \right.\) c) \(( - , - 6 ) \cup \left( \frac { 4 } { 3 } , 5 \right)\), (d) \(\left( - 6 , \frac { 4 } { 3 } \right) \cup \left( \frac { 5 } { 3 } , \infty \right)\)

---

Definitions:

Environmental Context

The surrounding conditions, including natural and built environments, that influence an entity or individual's functionality or behavior.

Reversing The Lens

A method of examining or analyzing situations from an alternative perspective, often to gain new insights or understand hidden aspects.

Followers Impact Leaders

The concept that the behavior, attitudes, and feedback from followers can influence and shape a leader's actions and decisions.

Dysfunctional Personal Characteristics

Traits or behaviors in individuals that negatively impact their performance or relationships in a workplace or social setting.