For the Given Functions F and G, Find the Requested $$f ( x ) = 3 - 3 x ; g ( x ) = - 5 x + 3$$

question 240

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = 3 - 3 x ; g ( x ) = - 5 x + 3$$
Find $f + g$ .

• A) \(( f + g ) ( x ) = - 8 x + 6\); all real numbers
• B) \(( f + g ) ( x ) = - 2 x\); all real numbers
• C) \(( f + g ) ( x ) = - 5 x + 3 ; \left\{ x \mid x \neq \frac { 3 } { 5 } \right\}\)
• D) \(( f + g ) ( x ) = 2 x + 6 ; \{ x \mid x \neq 3 \}\)

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Definitions:

Price-Inelastic

Describes a situation where the demand for a product or service is relatively unaffected by changes in its price.

Water

A transparent, tasteless, odorless, and nearly colorless chemical substance that is the main constituent of Earth's hydrosphere and the fluids of most living organisms.

Price Elasticity

An indicator of the sensitivity of demand for a product to variations in its price, represented as a percentual change.

Small Percentage

A quantitatively minor proportion or fraction of a total amount, often implying a negligible or minor impact.