Find the Domain of the Composite Function F $f ^ { \circ } g$

question 389

Multiple Choice

Find the domain of the composite function f $f ^ { \circ } g$
- $$f ( x ) = \sqrt { x } ; \quad g ( x ) = 5 x + 10$$

• A) \(\{ x \mid x \geq 0 \}\)
• B) \(\{ x \mid x \leq - 2\) or \(x \geq 0 \}\)
• C) \(\{ x \mid x \geq - 2 \}\)
• D) \(\{ x \mid x\) is any real number \(\}\)

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Definitions:

Miscegenation

A dated term referring to the interbreeding of people considered to be of different racial types, often used in contexts discussing racial purity and anti-interracial union laws.

Racial Categories

Classification systems that divide humans into groups based on physical and genetic traits, which are socially constructed and have significant implications for social identity and hierarchy.

Colonization

The act of establishing control over indigenous peoples and their lands by foreign powers or states, often involving settlement and exploitation.

Foreign Power

Typically refers to a country or an entity that has influence, control, or authority outside of its own borders.