Given $f ( x ) = 2 + x ^ { 2 }$

question 87

Essay

Given $f ( x ) = 2 + x ^ { 2 }$
and $g ( x ) = \sqrt { x - 1 }$
, find $( f \circ g ) ( 2 )$
, $( f \circ f ) ( 2 )$
.

---

Definitions:

Gestalt Psychology

A theory of mind and brain positing that the operational principle of the brain is holistic, parallel, and analog, with self-organizing tendencies.

Purpose of Consciousness

The reason or intention behind being aware of one's environment, thoughts, and feelings, possibly for effective interaction and adaptation.

William James

An American philosopher and psychologist, often referred to as the "Father of American psychology," known for his works on pragmatism and the psychology of religious experience.

Charles Darwin

A British naturalist and biologist known for his theory of evolution and the process of natural selection.