If the Function Is One-To-One, Find Its Inverse $$f ( x ) = x ^ { 3 } - 8$$

question 294

Multiple Choice

If the function is one-to-one, find its inverse. If not, write ʺnot one-to-one.ʺ
- $$f ( x ) = x ^ { 3 } - 8$$

• A) not a one-to-one
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x + 8 }\)
• C) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x - 8 }\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } } + 8\)

---

Definitions:

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a given price over a specified period of time.

Rationing Function

The ability of market prices to allocate scarce goods and services among competing demands.

Competitive Market

A market structure characterized by a large number of buyers and sellers, free entry and exit, and products that are similar, leading to price-taking behavior.

Equalize Quantity

Bringing the amount of supply in line with the amount of demand.