For the Given Functions F and G, Find the Requested $$f ( x ) = 7 x + 3 ; g ( x ) = 3 x + 7$$

question 97

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = 7 x + 3 ; g ( x ) = 3 x + 7$$
Find f $\cdot g .$

• A) \(( f \cdot g ) ( x ) = 21 x ^ { 2 } + 21 ; \{ x \mid x \neq 21 \}\)
• B) \(( f \cdot g ) ( x ) = 21 x ^ { 2 } + 58 x + 21\); all real numbers
• C) \(( f \cdot g ) ( x ) = 10 x ^ { 2 } + 58 x + 10\); all real numbers
• D) \(( f \cdot g ) ( x ) = 21 x ^ { 2 } + 16 x + 21 ; \{ x \mid x \neq 21 \}\)

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Definitions:

Major Depressive Disorder

A mental disorder characterized by at least two weeks of persistent sadness, loss of interest in activities, and other emotional and physical problems.

Worry About Worry

A meta-cognitive process where an individual experiences anxiety about the tendency to worry, potentially leading to a cycle of excessive worrying.

Difficulty Tolerating Ambiguity

Struggling to cope or remain comfortable in situations that are uncertain or unclear.

Social Anxiety Disorder (SAD)

A mental health condition marked by intense fear or anxiety in social situations, leading to avoidance of such scenarios.