Perform the Requested Operation or Operations $$f ( x ) = 4 x + 8 , g ( x ) = 4 x ^ { 2 }$$

question 153

Multiple Choice

Perform the requested operation or operations. Find the domain of each.
- $$f ( x ) = 4 x + 8 , g ( x ) = 4 x ^ { 2 }$$
Find $( f + g ) ( x )$ .

• A) \(4 x + 8 + 4 x ^ { 2 }\); domain: \(( - \infty , \infty )\)
• B) \(4 x + 8 - 4 x ^ { 2 }\); domain: \(( - \infty , \infty )\)
• C) \(\frac { 4 x + 8 } { 4 x ^ { 2 } } ;\) domain: \(( - \infty , \infty )\)
• D) \(16 x ^ { 3 } + 32 x\); domain: \(( - \infty , \infty )\)

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Definitions:

NADH

Nicotinamide adenine dinucleotide (reduced form) is a coenzyme involved in redox reactions, carrying electrons from one reaction to another in cellular metabolism.

Organic Molecule

A compound mainly made of carbon atoms, often containing hydrogen, oxygen, nitrogen, sulfur, and/or phosphorus, which is typically associated with living organisms.

Aerobic Pathways

Metabolic processes that require oxygen to produce energy, including the Krebs cycle and oxidative phosphorylation.

ATP Formation

The process of generating adenosine triphosphate (ATP), a key energy carrier in the cell, through cellular respiration or photosynthesis.