If $f ( x ) = \sqrt { 2 - 2 x }$

question 56

Essay

If $f ( x ) = \sqrt { 2 - 2 x }$ and $g ( x ) = \sqrt { x ^ { 2 } - 1 }$ , find $f + g$ , $\mathrm { fg }$ , and their domains.

---

Definitions:

Social Construction Theory

A theory that suggests knowledge, identities, and realities are constructed through social interactions and cultural norms.

Androgen Insensitivity Syndrome

A condition where a person who is genetically male is resistant to male hormones (androgens), leading to the development of female physical traits but male genetic makeup.

Klinefelter Syndrome

A condition in which a male has one or more extra X chromosomes, causing the development of female secondary sex characteristics.

Congenital Adrenal Hyperplasia

A group of inherited disorders of the adrenal gland whereby individuals born with this condition lack an enzyme needed by the adrenal gland to make the hormones cortisol and aldosterone.