If the Function Is One-To-One, Find Its Inverse $$f ( x ) = ( x + 6 ) ^ { 2 }$$

question 282

Multiple Choice

If the function is one-to-one, find its inverse. If not, write "not one-to-one."
- $$f ( x ) = ( x + 6 ) ^ { 2 }$$

• A) \(f ^ { - 1 } ( x ) = \frac { 1 } { \sqrt { x - 6 } }\)
• B) not a one-to-one
• C) \(f ^ { - 1 } ( x ) = \sqrt { x - 6 }\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt { \mathrm { x } } - 6\)

---

Definitions:

Income Effects

The changes in an individual's or economy's income and how that changes their spending and saving behavior.

Substitution Effects

The change in consumption patterns due to a change in the relative prices of goods.

Normal Goods

Goods for which demand goes up when income is higher and for which demand goes down when income is lower.

Wage Rate

The standard amount of pay given to an employee for services rendered, typically expressed on a per hour basis.