For the Given Functions F(x) and G(x), Find (F ∙ $\left(\frac{f}{g}\right)(x)$

question 24

Multiple Choice

For the given functions f(x) and g(x) , find (f ∙ g) (x) or $\left(\frac{f}{g}\right) (x)$ as indicated.
- $$f ( x ) = x ^ { 2 } - x - 9 , g ( x ) = x - 1$$
Find $( f \cdot g ) ( x )$ .

• A) \(x ^ { 3 } - 2 x ^ { 2 } - 9 x + 9\)
• B) \(x ^ { 3 } - 2 x ^ { 2 } - 10 x -\)
• C) \(x ^ { 3 } - 2 x ^ { 2 } - 8 x + 9\)
• D) \(x ^ { 3 } - 8 x + 9\)

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Definitions:

Avoidance

A coping mechanism involving the action of staying away from certain situations, activities, or people to prevent discomfort or anxiety.

Spontaneous Recovery

The reappearance of a previously extinguished conditioned response after a period of no exposure to the conditioned stimulus.

Higher-Order Conditioning

A form of learning where a stimulus is paired with a previously conditioned stimulus, causing the new stimulus to elicit the conditioned response without a direct association.

Extinction

In psychology, the process through which a conditioned response diminishes and eventually disappears as a result of the conditioned stimulus being presented without the unconditioned stimulus.