Determine the Domain of the Function $f(x)=\ln \left(4 x-x^{2}\right)$ A) $(-\infty, 0) \cup(4, \infty)$

question 33

Multiple Choice

Determine the domain of the function $f(x) =\ln \left(4 x-x^{2}\right)$

• A) \((-\infty, 0) \cup(4, \infty)\)
• B) (0,4)
• C) (-4,0)
• D) \((-\infty, 1.39)\)
• E) \((-\infty, 0) \cup(0,4) \cup(4, \infty)\)

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Definitions:

Cochlea

A spiral-shaped, fluid-filled organ in the inner ear that is responsible for converting sound vibrations into nerve impulses that the brain can interpret as sound.

Inner Ear

The inner ear is the deepest part of the ear, containing the cochlea, vestibule, and semicircular canals, which are crucial for hearing and balance.

Hertz

The unit of frequency in the International System of Units (SI), defined as one cycle per second.

Frequency

The rate at which a periodic event occurs, such as the number of occurrences of a repeating event per unit of time.