Determine Whether the Function Has an Inverse Function, If It $f ( x ) = | x - 2 | , x \leq 2$

question 56

Multiple Choice

Determine whether the function has an inverse function, If it does, find its inverse function. $f ( x ) = | x - 2 | , x \leq 2$

• A)No, \(f\) does not have an inverse function.
• B)Yes, \(f\) has an inverse function, \(f ^ { - 1 } ( x ) = 2 - x , x \geq 0\)
• C)Yes, \(f\) has an inverse function, \(f ^ { - 1 } ( x ) = - 2 - x , x \geq 0\)
• D)Yes, \(f\) has an inverse function, \(f ^ { - 1 } ( x ) = 2 + x , x \geq 0\)
• E)Yes, \(f\) has an inverse function, \(f ^ { - 1 } ( x ) = - 2 + x , x \geq 0\)

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Definitions:

Means of Production

The physical, non-human inputs used for the production of economic value, such as factories, tools, and raw materials.

Standard of Living

measures the wealth, comfort, material goods, and necessities available to a certain socioeconomic class or a geographic area.

Barter

An exchange system where goods and services are traded directly without the use of money as a medium.

Adam Smith

was an 18th-century Scottish economist and philosopher, best known for his works on the principles of free market economies.