The Function F Is One-To-One $$f ( x ) = 2 x + 8$$

question 45

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = 2 x + 8$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } + 8 } { 2 }\)
• B) \(f ( x ) = \frac { x - 8 } { 2 }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { \mathrm { x } + 2 } { 8 }\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 8 } { 2 }\)

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Definitions:

Short-run Cost Function

The relationship between the cost of production and the level of output when at least one input is fixed in the short term.

Long-run Cost Function

A relationship that shows the lowest possible cost at which a firm can produce any given level of output when all inputs, including capital, are variable.

Cost-output Elasticity

A measure of how responsive the cost of production is to a change in the output level.

Marginal Cost

The added expense incurred upon producing one further unit of a good or service.