For the Pair of Functions, Determine the Domain of F $$f ( x ) = 3 x ^ { 2 } + 1 , g ( x ) = 5 x ^ { 3 } - 7$$

question 22

Multiple Choice

For the pair of functions, determine the domain of f + g.
- $$f ( x ) = 3 x ^ { 2 } + 1 , g ( x ) = 5 x ^ { 3 } - 7$$

• A) \(( \infty , \infty )\)
• B) \(( \infty , 0 )\)
• C) \(( 0 , \infty )\)
• D) \(( \infty , 0 )\) or \(( 0 , \infty )\)

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Definitions:

Polyuria

A condition characterized by an abnormally large volume of urine output.

Glucose Uptake

The process by which cells absorb glucose from the bloodstream, which is then used as a form of energy.

Thirst

The sensation and regulatory mechanism that motivates the consumption of liquids to maintain optimal levels of body hydration.

Glucagon

A hormone produced by the pancreas that raises blood glucose levels, serving as a counter-regulatory mechanism for insulin.