Find the Domain of the Function F and of Its $$f ( x ) = 2 \sin ( 3 x - 1 )$$

question 24

Multiple Choice

Find the domain of the function f and of its inverse function f-1.
- $$f ( x ) = 2 \sin ( 3 x - 1 )$$

• A) Domain of \(\mathrm { f } : ( \infty , \infty )\)
• Domain of \(f ^ { - 1 } : [ - 3,3 ]\)
• B) Domain of \(\mathrm { f } : \left[ - \frac { 1 } { 2 } , \frac { 1 } { 2 } \right]\)
• Domain of \(\mathrm { f } ^ { - 1 } : ( \infty , \infty )\)
• C) Domain of \(\mathrm { f } : [ - 2,2 ]\)
• Domain of \(\mathrm { f } ^ { - 1 } : ( \infty , \infty )\)
• D) Domain of \(f : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : [ - 2,2 ]\)

---

Definitions:

Brightness Constancy

the human visual system's ability to recognize the brightness of an object regardless of the amount of light it reflects.

Color Constancy

The perceptual phenomenon in which the colors of objects appear largely unchanged under varying lighting conditions.

Relative Luminance

A measure of the brightness of a color or light source in comparison to a reference white or bright source under identical viewing conditions.

Perceptual Organization

The psychological processes that enable individuals to perceive patterns, and structure in the environment, making sense of the world through visual, auditory, and other sensory information.