Express the Given Function as a Composite of Functions F $f ( x ) = \sqrt { x - 5 }$

question 8

Multiple Choice

Express the given function as a composite of functions f and g such that y = f(g(x) ) .
-Let $f ( x ) = \sqrt { x - 5 }$ . Find a function $y = g ( x )$ so that $( f \circ g ) ( x ) = \sqrt { x ^ { 2 } - 5 }$ .

• A) \(g ( x ) = x ^ { 2 } + 5\)
• B) \(g ( x ) = 2 x\)
• C) \(g ( x ) = x ^ { 2 }\)
• D) \(g ( x ) = x ^ { 2 } - 5\)

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Definitions:

Cell Body

The central part of a neuron that contains the nucleus and integrates signals received by the dendrites.

Synapse

The junction between two neurons where neurotransmitters are released, allowing signals to pass from one neuron to another.

Neurotransmitter

Chemicals in the brain that transmit signals from one neuron to another, influencing a wide range of bodily and psychological functions.

Norepinephrine

A neurotransmitter and hormone involved in arousal, alertness, and the stress response.