Find the Domain of the Composite Function F $f ^ { \circ } g$

question 410

Multiple Choice

Find the domain of the composite function f $f ^ { \circ } g$
- $$f ( x ) = \sqrt { 2 - x } ; \quad g ( x ) = | 2 x - 1 |$$

• A) \(\{ x \mid x \leq 2 \}\)
• B) \(\{ x \mid x \geq 2 \}\)
• C) \(\left\{ x \mid - \frac { 1 } { 2 } \leq x \leq \frac { 3 } { 2 } \right\}\)
• D) all real numbers

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Definitions:

Cornea

The transparent front part of the eye that covers the iris, pupil, and anterior chamber, providing most of the eye's optical power.

Scattering of Light Rays

The process by which light rays are deflected in various directions by particles in their path, affecting how light is perceived.

Pigment Loss

The reduction or absence of melanin or other pigments in the skin, hair, or eyes, which can be hereditary or due to conditions like vitiligo.

Anterior Chamber

Chamber of the eye between the cornea and the iris.