Find the Domain of the Function $f ( x ) = \sin ^ { - 1 } ( 3 - 2 x )$

question 148

Multiple Choice

Find the domain of the function $f ( x ) = \sin ^ { - 1 } ( 3 - 2 x )$ .

• A) \([ 0,1 ]\)
• B) \([ 1,2 ]\)
• C) \([ 0,2 ]\)
• D) \([ 0,3 ]\)
• E) \([ 1,3 ]\)
• F) \([ 2,3 ]\)
• G) \([ - 3 , - 1 ]\)
• H) \([ - 3 , - 2 ]\)

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Definitions:

Hypnosis

A trance-like state of focussed attention, increased suggestibility, and vivid fantasies, often used for therapeutic purposes.

Ponzo Illusion

A visual illusion where two horizontal lines of identical length appear to be of different lengths due to converging parallel lines or background cues.

Hypnotized

The state of being under the influence of hypnosis, marked by altered attention and reduced peripheral awareness.

Radiating Lines

Lines that extend outwards from a central point in a pattern that suggests radiation or the rays of the sun.