Determine the Domain and Range of the Inverse Function $f ^ { - 1 }$

question 24

Multiple Choice

Determine the domain and range of the inverse function $f ^ { - 1 }$ of the following function $f$ $f ( x ) = - | x + 6 | + 2$ , where $x > - 6$

• A) Domain: \([ - 6 , \infty )\); Range: \([ 2 , \infty )\)
• B) Domain: \(( - \infty , 2 ]\); Range: \([ - 6 , \infty )\)
• C) Domain: \([ - 6,2 ]\); Range: \([ - 6 , \infty )\)
• D) Domain: \(( - \infty , - 6 ]\); Range: \([ - 2 , \infty )\)
• E) Domain: \(( - \infty , \infty )\); Range: \(( - \infty , \infty )\)

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Definitions:

Gantt Chart

A visual project management tool that outlines a project schedule, showing the start and finish dates of various elements or tasks within the project.

PERT/CPM Network

Pertains to the management tools known as Program Evaluation and Review Technique (PERT) and Critical Path Method (CPM), used for planning, scheduling, and controlling complex projects.

Arnold Palmer Hospital

A highly regarded healthcare institution known for its specialized services and commitment to patient care.

Critical Path Analysis

A technique used in project management to identify the sequence of dependent tasks that determine the minimum overall duration of a project.