Given F(x) and G(x), Find the Indicated Composition and State $f ( x ) = 5 \sqrt { x + 3 }$

question 47

Multiple Choice

Given f(x) and g(x) , find the indicated composition and state its domain.
-For $f ( x ) = 5 \sqrt { x + 3 }$ and $g ( x ) = 2 x + 9$ , what is the domain of $g \circ f$ ?

• A) \([ - 12 , \infty )\)
• B) \(( - 3 , \infty )\)
• C) \(( - \infty , \infty )\)
• D) \([ - 3 , \infty )\)

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Definitions:

REM Sleep

Rapid Eye Movement sleep; a unique phase of sleep characterized by random rapid movement of the eyes, increased brain activity, and vivid dreams.

NREM Sleep

Non-Rapid Eye Movement sleep, constituting the majority of sleep time, and characterized by slower brain waves, reduced heart rate, and minimal dreaming.

REM Rebound

The phenomenon where a person experiences increased amounts of REM sleep after being deprived of REM sleep in earlier nights.

REM Sleep

A phase of sleep characterized by rapid eye movement, during which vivid dreams commonly occur.