Find F(x) and G(x) Such That H(x) = $(f \circ g)(x)$

question 4

Multiple Choice

Find f(x) and g(x) such that h(x) = $(f \circ g) (x)$ .
- $$h ( x ) = \frac { x ^ { 5 } - 3 } { x ^ { 5 } + 2 }$$

• A) \(f ( x ) = x ^ { 5 } + 2 , g ( x ) = x ^ { 5 } - 3\)
• B) \(f ( x ) = x ^ { 5 } , g ( x ) = \frac { x - 3 } { x + 2 }\)
• C) \(f ( x ) = \frac { 1 } { x ^ { 5 } + 2 } , g ( x ) = x ^ { 5 } - 3\)
• D) \(f ( x ) = \frac { x - 3 } { x + 2 } , g ( x ) = x ^ { 5 }\)

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Definitions:

Ethanol

A volatile, flammable, colorless liquid commonly used as a fuel and in chemical synthesis, and also found in alcoholic beverages.

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A chemical agent used to eliminate or significantly reduce the presence of pathogenic microorganisms on surfaces or objects.

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Bacterial contamination refers to the undesirable presence of bacteria in a substance, environment, or object, which can pose health risks.

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The unwanted presence of fungi in materials or environments, which can lead to spoilage or health hazards.