If $f ( x ) = 3 x - 2$ And $g ( x ) = 3 + 2 x ^ { 2 }$

question 6

Multiple Choice

If $f ( x ) = 3 x - 2$ and $g ( x ) = 3 + 2 x ^ { 2 }$
, find $f g$
And $( g \circ f ) ( x )$

• A) \(f g = x ^ { 3 } - 4 x ^ { 2 } + 9 x - 1\)
• ; \(( g \circ f ) ( x ) = 18 x ^ { 2 } - 24 x + 11\)
• B) \(f g = 6 x ^ { 3 } - 4 x ^ { 2 } + 9 x - 6\)
• ; \(( g \circ f ) ( x ) = 18 x ^ { 2 } - 24 x + 11\)
• C) \(f g = 2 x ^ { 2 } + 3 x + 1\)
• ; \(( g \circ f ) ( x ) = 6 x ^ { 2 } + 7\)
• D) \(f g = 6 x ^ { 2 } + 7\)
• ; \(( g \circ f ) ( x ) = 6 x ^ { 3 } - 4 x ^ { 2 } + 9 x - 6\)
• E) none of these

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Definitions:

Activity Level

The volume of work or output produced, often used in costing and budgeting processes to measure levels of operations.

Total Cost

The complete cost of production, combining all costs of inputs and expenditures related to producing something, including direct, indirect, fixed, and variable costs.

Miles Driven

A measure often used in various contexts, such as accounting for vehicle costs, determining travel expenses, or evaluating performance in logistics and transportation.

Variable Costing

A costing method in which variable production costs are included in product costs, and fixed production costs are treated as period expenses.