For the Given Functions F and G, Find the Requested $f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 4 x ^ { 2 } - 1 \quad$

question 60

Multiple Choice

For the given functions f and g, find the requested function.
- $f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 4 x ^ { 2 } - 1 \quad$ Find $( f \cdot g ) ( x )$ .

• A) \(( f \cdot g ) ( x ) = 2 x ^ { 3 } + 4 x ^ { 2 } + 1\)
• B) \(( f \cdot g ) ( x ) = 8 x ^ { 5 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 1\)
• C) \(( f \cdot g ) ( x ) = 8 x ^ { 6 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 1\)
• D) \(( f \cdot g ) ( x ) = - 8 x ^ { 5 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 1\)

---

Definitions:

Conditioned Stimulus

A previously neutral stimulus that, after being associated with an unconditioned stimulus, eventually triggers a conditioned response.

Unconditioned Response

An automatic, natural reaction to a stimulus that occurs without any need for learning or previous experience.

Turbulent Conditions

Situations characterized by disorder, instability, or rapid changes that can create challenges or uncertainty.

Anxious

Anxious describes a feeling of worry, nervousness, or unease about something with an uncertain outcome, often related to anticipation of future events.