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

question 471

Multiple Choice

Find functions f and g so that f $f \circ g = H$
- $$H ( x ) = \frac { 1 } { x ^ { 2 } - 6 }$$

• A) \(f ( x ) = \frac { 1 } { x } ; g ( x ) = \frac { 1 } { x ^ { 2 } } - 9\)
• B) \(f ( x ) = \frac { 1 } { x ^ { 2 } } - 9 ; g ( x ) = \frac { 1 } { x }\)
• C) \(f ( x ) = x ^ { 2 } - 6 ; g ( x ) = \frac { 1 } { x }\)
• D) \(f ( x ) = \frac { 1 } { x } , g ( x ) = x ^ { 2 } - 6\)

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Definitions:

Rapidly

Quickly or in a short time period.

Oxidation

A chemical reaction involving the loss of electrons by a molecule, atom, or ion, often associated with gaining oxygen or losing hydrogen.

Reduction

A chemical reaction involving the gain of electrons or the decrease in oxidation state by a molecule, atom, or ion.

Oxidizing Agent

A substance that has the ability to oxidize other substances, meaning it gains electrons in the process.