Find the Indicated Function Value $$f ( x ) = x ^ { 2 } + \frac { 1 } { 3 } x - 3 , g ( x ) = x ^ { 3 } - \frac { 2 } { 3 } x ^ { 2 } + x$$

question 69

Multiple Choice

Find the indicated function value.
- $$f ( x ) = x ^ { 2 } + \frac { 1 } { 3 } x - 3 , g ( x ) = x ^ { 3 } - \frac { 2 } { 3 } x ^ { 2 } + x$$
Find $( f + g ) ( x )$ .

• A) \(x ^ { 3 } + \frac { 1 } { 3 } x ^ { 2 } + \frac { 4 } { 3 } x - 3\)
• B) \(2 x ^ { 3 } - \frac { 1 } { 6 } x ^ { 2 } - 2 x\)
• C) \(x ^ { 3 } + \frac { 1 } { 6 } x ^ { 2 } + \frac { 2 } { 3 } x - 3\)
• D) \(2 x ^ { 3 } - \frac { 1 } { 3 } x ^ { 2 } - 2 x\)

---

Definitions:

Growing Hair

The process by which hair increases in length and volume on the body.

Suppressing Thoughts

Intentionally trying to avoid or push away specific thoughts, often leading to increased occurrence of those thoughts.

Daydreaming

A mild, benign dissociative state of consciousness during which a person's attention drifts away from the immediate environment to more internal, whimsical, or imaginary scenarios.

Neurotransmitters

Chemical messengers in the nervous system that transmit signals between neurons or from neurons to muscles, influencing a wide range of bodily functions and behaviors.