If the Function Is One-To-One, Find Its Inverse $$f ( x ) = 2 x + 3$$

question 144

Multiple Choice

If the function is one-to-one, find its inverse. If not, write "not one-to-one."
- $$f ( x ) = 2 x + 3$$

• A) not a one-to-one
• B) \(f ^ { - 1 } ( x ) = \frac { x } { 2 } - 3\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } + 3 } { 2 }\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 3 } { 2 }\)

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Definitions:

Deadweight Loss

A reduction in economic productivity occurring when there is no achievement of equilibrium for a good or service.

Marginal Revenue

The enhanced income derived from peddling an additional unit of a product or service.

Marginal Cost

The increase in total cost that arises from producing one additional unit of a good or service, a critical factor in economic decision-making.

Predatory Pricing

Practice of pricing to drive current competitors out of business and to discourage new entrants in a market so that a firm can enjoy higher future profits.