Define a Function $f : \mathbf { R } - \{ 0 \} \longrightarrow \mathbf { R }$

question 21

Essay

Define a function $f : \mathbf { R } - \{ 0 \} \longrightarrow \mathbf { R }$ by the formula $f ( x ) = \frac { x + 3 } { x }$ for all nonzero real numbers $x$ . Prove that $f$ is one-to-one.

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Definitions:

Early Sexual Activity

Early sexual activity refers to engaging in sexual behaviors at a younger age than what is typically considered appropriate, which can have various health and social implications.

Adolescent's Decision

Refers to choices or judgments made by individuals during adolescence, a critical developmental period marked by significant personal and social growth.

Sexual Abuse

Physically or psychologically harmful sexual activity or any sexual activity involving a child and an older person.

Genital Blisters

Painful fluid-filled blisters that can appear on the genitalia, often as a symptom of a sexually transmitted infection.