Find a Formula for the Inverse of the Function Described $f ( x ) = \frac { x } { 2 } - 20$

question 365

Multiple Choice

Find a formula for the inverse of the function described below.
-A size 44 dress in Country C is size 2 in Country D. A function that converts dress sizes in Country C to those in Country D is $f ( x ) = \frac { x } { 2 } - 20$ .

• A) \(f ^ { - 1 } ( x ) = x + 20\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 2 \mathrm { x } + 20\)
• C) \(f ^ { - 1 } ( x ) = 2 ( x + 20 )\)
• D) \(f ^ { - 1 } ( x ) = 2 ( x - 20 )\)

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Definitions:

Marble

A metamorphic rock that is formed from the recrystallization of limestone or dolomite, often used in sculpture and as building material.

Schist

A shiny, foliated, metamorphic rock generally containing abundant visible crystals of mica.

Thrust Fault

A type of fault where the hanging wall moves up relative to the footwall, often associated with the compression of Earth's crust.

Normal Fault

A type of geological fault where the hanging wall has moved downward relative to the footwall, usually due to extensional forces.