Find the Inverse of the Function $$f ( x ) = e ^ { - x } + 2$$

question 269

Multiple Choice

Find the inverse of the function.
- $$f ( x ) = e ^ { - x } + 2$$

• A) \(f ^ { - 1 } ( x ) = - e ^ { x } - 2\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { e } ^ { \mathrm { x } } - \frac { 1 } { \mathrm {~s} }\)
• C) \(f ^ { - 1 } ( x ) = - \ln ( x - 2 )\)
• D) \(f ^ { - 1 } ( x ) = \ln 2 - \ln x\)

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Definitions:

Generalized Anxiety Disorder

A mental health condition characterized by persistent and excessive worry about various aspects of life, not limited to any specific situation or object.

Obsessive-Compulsive Disorder

A mental health disorder characterized by unwanted intrusive thoughts (obsessions) and repetitive behaviors or mental acts (compulsions).

Anxiety Disorders

A group of mental health disorders characterized by significant feelings of anxiety and fear.