Use the Definition of Inverses to Determine Whether F and G

question 371

True/False

Use the definition of inverses to determine whether f and g are inverses.
- $f ( x ) = \frac { 1 } { x + 2 } , \quad g ( x ) = \frac { 2 x + 1 } { x }$

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Definitions:

Involuntary Commitment

The legal process through which individuals with severe mental health issues are placed into treatment facilities without their consent when they pose a risk to themselves or others.

Cognitive Therapy

A form of psychotherapy that emphasizes the role of thought patterns and beliefs in influencing behavior, aiming to change negative thinking patterns to improve emotional state and behavior.

Anxiety

A feeling of worry, nervousness, or unease about something with an uncertain outcome, often reflecting apprehension about future events.

DSM-IV

The Diagnostic and Statistical Manual of Mental Disorders, Fourth Edition, which is a guide used by healthcare professionals to diagnose mental disorders.