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:

Equilibrium Constant

A numerical value that expresses the ratio of concentrations of products to reactants at equilibrium for a reversible chemical reaction at a constant temperature.

Reactants

Substances initially present in a chemical reaction that are consumed during the reaction to make products.

Products

Substances that are formed as a result of a chemical reaction, found on the right side of a chemical equation.

Constant Temperature

A condition or process that occurs at an unchanging temperature, regardless of other varying factors.