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:

Fifteen Hours

A specific duration of time, amounting to fifteen hours, often used to quantify tasks or activities.

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Refers to academic scores that fall below the expected or standard level, often indicating a need for improvement or additional support.

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The act of receiving something with the intention to return it or its equivalent.

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