Solve the Problem $f ( x ) = | x | - 3 ; x \geq 0$

question 66

Multiple Choice

Solve the problem.
-Given $f ( x ) = | x | - 3 ; x \geq 0$ , write an equation for $f ^ { - 1 } ( x )$ . (Hint: Sketch $f ( x )$ and note the domain and range.)

• A) \(f ^ { - 1 } ( x ) = x + 3 ; x \geq - 3\)
• B) \(f ^ { - 1 } ( x ) = | x | + 3 ; x \geq - 3\)
• C) \(f ^ { - 1 } ( x ) = | x + 3 | ; x \geq 0\)
• D) \(f ^ { - 1 } ( x ) = | x | + 3 ; x \geq 0\)

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Definitions:

Marginal Cost

is the change in total production cost that arises when the quantity produced is incremented by one unit, reflecting the cost of producing one additional unit of a good or service.

Marginal Cost Curve

The Marginal Cost Curve is a graphical representation showing the change in total cost that arises from producing one additional unit of a good or service.

Variable Input

An input in the production process that can be changed in the short run, such as labor and raw materials.

Marginal Revenue Product

The additional revenue generated from employing one more unit of a factor of production, assuming all other factors remain constant.