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) \(2 x ^ { 3 } - \frac { 1 } { 3 } x ^ { 2 } - 2 x\)

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Definitions:

Hemoglobin

The protein that carries oxygen in red blood cells.

Evolutionary Force

Any factor that brings about changes in the genetic makeup of a population, aiding in evolution.

Inheritance Of Acquired Characteristics

A discredited biological hypothesis originally proposed by Jean-Baptiste Lamarck, suggesting that traits developed during an organism's life can be passed on to its offspring.

Jean-Baptiste Lamarck

A French naturalist who proposed an early theory of evolution, suggesting that organisms could pass on traits acquired in their lifetime to their offspring.