Let H(x) = Sin $2$ X $+$ 3 Sin X - 4 and G(x) = Sin X

question 94

Multiple Choice

Let h(x) = sin $2$ x $+$ 3 sin x - 4 and g(x) = sin x. Find f(x) so that h(x) = $( f \circ g ) ( x )$

• A)f (x) = (3x + 2) \(2\)
• B)f (x) = x + 3
• C)f(x) = 3x \(2\) - 4
• D)f(x) = x \(2\) - 3x \(+\) 4
• E)f (x) = 3x \(2\) - 4x
• F)f (x) = x \(2\) \(+\) 3x - 4
• G)f (x) = x \(2\) - 4
• H)f (x) = (x - 4) \(2\)

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Definitions:

Apnea

A temporary cessation of breathing, especially during sleep.

Sleeplessness

The condition of being unable to sleep, also known as insomnia.

Sleep Apnea

A condition where an individual experiences interruptions in breathing or instances of light breathing while asleep.

Serious Sleep Apnea

A severe form of sleep apnea characterized by frequent interruptions of breathing during sleep, leading to significant health risks.