Find the Requested Composition of Functions $f ( x ) = \frac { 5 } { x - 8 }$

question 12

Multiple Choice

Find the requested composition of functions.
-Given $f ( x ) = \frac { 5 } { x - 8 }$ and $g ( x ) = \frac { 4 } { 5 x }$ , find $( f \circ g ) ( x )$

• A) \(\frac { 4 x - 32 } { 25 x }\)
• B) \(\frac { 25 x } { 4 + 40 x }\)
• C) \(\frac { 5 x } { 4 - 40 x }\)
• D) \(\frac { 25 x } { 4 - 40 x }\)

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Definitions:

Variable Overhead

The costs that fluctuate with the level of production or business activity, such as utilities or materials.

Variable Costing

A pricing approach that incorporates only those production expenses that vary—such as direct materials, direct labor, and variable manufacturing overhead—into the cost of products.

Variable Costing

A costing method that includes only variable manufacturing costs—direct materials, direct labor, and variable manufacturing overhead—in the cost of a unit of product.

Operating Expenses

Costs associated with the day-to-day operations of a business, excluding production costs but including items like rent, utilities, and payroll.