For the Pair of Functions, Find the Indicated Composition $$f ( x ) = 4 x ^ { 2 } + 3 x + 8 , g ( x ) = 3 x - 6$$

question 137

Multiple Choice

For the pair of functions, find the indicated composition.
- $$f ( x ) = 4 x ^ { 2 } + 3 x + 8 , g ( x ) = 3 x - 6$$
Find $( g \circ f ) ( x )$ .

• A) \(4 x ^ { 2 } + 3 x + 2\)
• B) \(4 x ^ { 2 } + 9 x + 18\)
• C) \(12 x ^ { 2 } + 9 x + 18\)
• D) \(12 x ^ { 2 } + 9 x + 30\)

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Definitions:

Head Position

The orientation or angle of the head in relation to the body, which can influence perception, balance, and communication.

Source Of Sound

The point or object from which sound waves originate, which can be anything that vibrates to create audio frequencies.

Basilar Membrane

A key structure in the cochlea of the inner ear, which plays a crucial role in sound perception by responding to different frequencies.

Nerve Deafness

A type of hearing loss that occurs when the auditory nerve or the hair cells in the cochlea are damaged, making it hard to send sound signals to the brain.