Define a Function $f : \mathbf { R } \longrightarrow \mathbf { R }$

question 4

Essay

Define a function $f : \mathbf { R } \longrightarrow \mathbf { R }$ as follows: for all real numbers $x$ ,
$$f ( x ) = 16 x - 5 .$$
Then $f$ is both one-to-one and onto. Find the inverse function $f ^ { - 1 }$ .

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Definitions:

Diffusion of Innovation

A concept aiming to understand the manner, reasoning, and speed at which cultures adopt new innovations and technological advancements.

Early Adopters

Individuals or organizations who use or purchase new products, technologies, or services soon after they are launched, often before the majority of consumers do.

Diffusion of Innovation

The process by which a new idea, product, or behavior spreads through a population over time.

Diffusion of Innovation

The process by which a new idea, product, or behavior spreads through a population, influencing the adoption rate across individuals and groups.