Find $f \circ g$ And the Domain of the Composite Function $f ( x ) = \sqrt { x + 5 } , g ( x ) = x ^ { 2 }$

question 48

Multiple Choice

Find $f \circ g$ and the domain of the composite function.​ $f ( x ) = \sqrt { x + 5 } , g ( x ) = x ^ { 2 }$ ​

• A) \(( x + 5 ) ^ { 2 }\) Domain of \(f \circ g\) : all real numbers x
• B) \(\sqrt { x ^ { 2 } + 5 }\) Domain of \(f \circ g\) : all real numbers x
• C) \(- \sqrt { ( x + 5 ) ^ { 2 } }\) Domain of \(f \circ g\) : all real numbers x
• D) \(( x - 5 ) ^ { 2 }\) Domain of \(f \circ g\) : all real numbers x
• E) \(\sqrt { ( x - 5 ) ^ { 2 } }\) Domain of \(f \circ g\) : all real numbers x

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Definitions:

Wealthier

Pertaining to individuals, communities, or nations possessing a substantial amount of money, assets, or resources, enabling a higher standard of living and financial security.

Dominant Roles

Positions of authority or superiority within a social, organizational, or systemic hierarchy, often influencing decision-making and norms.

Recurring Characters

Characters that appear regularly in a series of stories, television shows, or other narrative works.

Television

An electronic system of transmitting transient images of fixed or moving objects together with sound over a wire or through space by apparatus that converts light and sound into electrical waves and reconverts them into visible light rays and audible sound.