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

question 301

Multiple Choice

Find functions f and g so that f $f \circ g = H$
- $$H ( x ) = \frac { 1 } { x ^ { 2 } - 5 }$$

• A) \(f ( x ) = \frac { 1 } { x ^ { 2 } } ; \quad g ( x ) = - 1 / 5\)
• B) \(f ( x ) = \frac { 1 } { x } ; \quad g ( x ) = x ^ { 2 } - 5\)
• C) \(f ( x ) = x ^ { 2 } - 5 ; \quad g ( x ) = \frac { 1 } { x }\)
• D) \(f ( x ) = \frac { 1 } { x ^ { 2 } } ; \quad g ( x ) = x - 5\)

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Definitions:

Addition Polymer

This type of polymer is formed by the addition reaction between monomers with double or triple bonds, leading to a long chain molecule without the elimination of small molecules such as water.

Condensation Polymer

A type of polymer formed by the reaction of monomer units with the loss of a small molecule, such as water, leading to the formation of a longer chain.

Polymer Backbone

The Polymer Backbone is the longest series of connected atoms that constitute the main structure of a polymer chain.

Atactic

Refers to polymers with a random configuration of the substituent groups along the polymer chain, affecting its properties.