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-Based Costing

A cost accounting method that assigns overhead and indirect costs to specific activities, enhancing the tracing of costs to products or services.

Complexity-Related

Pertaining to costs or processes that increase due to the complexity of operations, products, or services.

Order-Related

Pertaining to costs or activities that are directly tied to the processing of specific customer orders.

Raw Ingredients

Basic and unprocessed materials used in the manufacture or production of goods.