Let $f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 } - 1$

question 2

Multiple Choice

Let $f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 } - 1$ . Find the domain of the composite function. $( f \circ g ) ( x )$

• A) \(\quad ( - 1 , \infty )\)
• B) \(\quad ( - \infty , - 1 ]\)
• C) \(\quad ( - \infty , - 1 )\)
• D) \([ - 1 , \infty )\)
• E) \(\quad ( - \infty , \infty )\)

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Definitions:

Optic

pertains to the eye or vision, often used in contexts relating to the optic nerve or optic pathways in the visual system.

Broca's Area

Broca's area is a region in the frontal lobe of the dominant hemisphere (usually the left) of the brain associated with speech production and language processing.

Cerebral Cortex

A layer of brain tissue responsible for cognitive functions, memory, and consciousness.

Primary Somatosensory Cortex

The region of the brain that processes sensory input from the body, including touch, temperature, and pain.