Show Algebraically That F and G Are Inverse Functions

question 112

Essay

Show algebraically that f and g are inverse functions.
f(x) = 9x + 9

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Definitions:

Frequency Theory

A theory in the field of psychology, explaining how the rate of nerve impulses traveling up the auditory nerve matches the frequency of a tone, allowing us to sense its pitch.

Place Theory

The theory of hearing that holds that each individual pitch a person hears is determined by the particular location along the basilar membrane of the cochlea that vibrates the most.

Volley Principle

A theory in hearing that suggests groups of auditory neurons respond to a sound by firing action potentials slightly out of phase with each other, allowing for the perception of sounds up to 5000 Hz.

Pinna

The visible part of the ear that resides outside the head, which plays a role in capturing sound waves and funneling them into the ear canal.