Find Functions F and G So That F $f \circ g = H$

question 55

Multiple Choice

Find functions f and g so that f $f \circ g = H$
- $$H ( x ) = \left| 4 - 3 x ^ { 2 } \right|$$

• A) \(f ( x ) = 4 - 3 x ^ { 2 } ; g ( x ) = | x |\)
• B) \(f ( x ) = x ^ { 2 } ; g ( x ) = 4 - 3 | x |\)
• C) \(f ( x ) = 4 - 3 | x | ; g ( x ) = x ^ { 2 }\)
• D) \(f ( x ) = | x | ; g ( x ) = 4 - 3 x ^ { 2 }\)

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Definitions:

Chemical Pollutant

Substances introduced into the environment that pose risks or harm to ecosystems, animals, or human health, often resulting from industrial, agricultural, or urban activities.

Biogeochemical Cycle

The cycling of chemical elements and compounds between the biological and geological components of the environment, including processes such as carbon, nitrogen, and water cycles.

Trophic Category

Refers to the classification of organisms based on their feeding position in an ecosystem, such as producers, consumers, and decomposers.