For the Given Functions F(x) and G(x), Find (F ∙ $\left(\frac{f}{g}\right)(x)$

question 107

Multiple Choice

For the given functions f(x) and g(x) , find (f ∙ g) (x) or $\left(\frac{f}{g}\right) (x)$ as indicated.
- $$f ( x ) = 8 x - 9 , g ( x ) = 6 x - 6$$
Find $( f \cdot g ) ( x )$ .

• A) \(48 x ^ { 2 } - 102 x + 54\)
• B) \(14 x ^ { 2 } - 102 x - 15\)
• C) \(48 x ^ { 2 } - 60 x + 54\)
• D) \(48 x ^ { 2 } + 54\)

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Definitions:

Systems Approach

A method of problem solving or analysis that views problems as parts of an overall system, rather than focusing on individual components.

Scientific Management

A theory and practice of management that analyzes and synthesizes workflows, aiming to improve economic efficiency and labor productivity.

Frederick W. Taylor

A mechanical engineer from America who aimed to enhance productivity in the industrial sector and is recognized as the progenitor of scientific management.

Open Systems

A concept in organizational and system theories that describes entities which interact with their environments by exchanging resources, information, and energy.