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:

Absolute Refractory Period

A period immediately following the transmission of an impulse in nerve or muscle in which it cannot respond to another stimulus, ensuring the unidirectional flow of impulses.

Cardiac Muscle Cells

Specialized muscle cells found in the heart that have the ability to contract automatically and rhythmically, contributing to heart contraction.

Tetanus

A bacterial infection characterized by muscle stiffness and spasms, caused by the bacterium Clostridium tetani.

Arrhythmias

Irregular heartbeats resulting from abnormalities in the heart’s electrical impulses, which can affect heart function.