Write the Word or Phrase That Best Completes Each Statement $f ( x ) = | x | - 5$

question 132

Essay

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The function $f ( x ) = | x | - 5$ is not one-to-one.
(a) Find a suitable restriction on the domain of $\mathrm { f }$ so that the new function that results is one-to-one.
(b) Find the inverse of $f$ .

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Definitions:

Alcohol

A psychoactive substance found in alcoholic beverages, widely consumed globally and known to have both social and health impacts.

Social Stress

The stress experienced by individuals due to pressures and conflicts arising from social relationships and societal expectations.

Mental Illness

A broad range of mental health conditions that affect mood, thinking, and behavior, often requiring medical or therapeutic treatment.

Chronic

Referring to a condition or disease that persists for a long time or is constantly recurring.