Find $f \circ g$ And the Domain of the Composite Function $f ( x ) = | x | , g ( x ) = x + 3$

question 9

Multiple Choice

Find $f \circ g$ and the domain of the composite function.​ $f ( x ) = | x | , g ( x ) = x + 3$ ​

• A) \(\left| ( x - 3 ) ^ { 3 } \right|\) Domain of \(f \circ g\) : all real numbers x
• B) \(\sqrt { ( x + 3 ) ^ { 3 } }\) Domain of \(f \circ g\) : all real numbers x
• C) \(| x + 3 |\) Domain of \(f \circ g\) : all real numbers x
• D) \(\left| ( x + 3 ) ^ { 3 } \right|\) Domain of \(f \circ g\) : all real numbers x
• E) \(| x - 3 |\) Domain of \(f \circ g\) : all real numbers x

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Definitions:

pH

A scale used to specify the acidity or basicity of an aqueous solution, with values ranging from 0 (acidic) to 14 (basic), and 7 being neutral.

L-Arginine

An essential amino acid that plays a vital role in protein synthesis and is a precursor for the synthesis of nitric oxide, a crucial compound for blood vessel health.

pH

A scale used to specify the acidity or basicity of an aqueous solution, where 7 is neutral, below 7 is acidic, and above 7 is basic.

L-Valine

An essential amino acid used in the biosynthesis of proteins, distinguished by its branched-chain structure.