Suppose That $g$ Is the Inverse of a Function $f$ If $f ( 4 ) = 3$

question 52

Multiple Choice

Suppose that $g$ is the inverse of a function $f$ . If $f ( 4 ) = 3$ and $f ^ { \prime } ( 4 ) = 2$ , find $g ^ { \prime } ( 3 )$ .

• A) 3
• B) \(\frac { 1 } { 2 }\)
• C)4
• D) \(\frac { 2 } { 3 }\)

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Definitions:

Instinct

An innate, typically fixed pattern of behavior in animals in response to certain stimuli that is biologically driven rather than learned.

Reproductive Value

An evolutionary concept indicating an individual's potential future reproductive output.

Sexual Selection

A mode of natural selection where individuals with certain inherited characteristics are more likely than others to obtain mates, influencing the reproductive success of organisms.

Bright Coloration

A characteristic of an organism's appearance involving vivid colors, which can serve various functions such as attraction, camouflage, or warning.