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

question 260

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:

Phosphate

A chemical derivative of phosphoric acid, containing the phosphate ion, PO4^3-, which plays a significant role in biological molecules such as DNA and ATP.

Sulfur

A chemical element that is a nonmetal, yellow in color, with the atomic number 16, commonly found in minerals and used in various industrial processes.

Nitrogen

A chemical element with symbol N and atomic number 7, essential for all living organisms as it is a major component of amino acids and nucleic acids.