A One-To-One Function Is Given $$f ( x ) = \sqrt [ 3 ] { x + 7 }$$

question 133

Multiple Choice

A one-to-one function is given. Write an expression for the inverse function.
- $$f ( x ) = \sqrt [ 3 ] { x + 7 }$$

• A) \(f ^ { - 1 } ( x ) = ( x + 7 ) ^ { 3 }\)
• B) \(f ^ { - 1 } ( x ) = x ^ { 3 } - 7\)
• C) \(f ^ { - 1 } ( x ) = x ^ { 3 } + 7\)
• D) \(f ^ { - 1 } ( x ) = ( x - 7 ) ^ { 3 }\)

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Definitions:

Recessions

Intervals of provisional economic contraction, during which commerce and industry slow down, often indicated by a dip in GDP across two sequential quarters.

Real GDP

The measure of a country's economic output adjusted for price changes (inflation or deflation), reflecting the true value of goods and services produced.

Recessions

Episodes of brief economic downturn where business and manufacturing activities decline, usually signaled by a decrease in the GDP for two back-to-back quarters.

Aggregate Demand

Collective appetite for goods and services in an economic system, pegged at a particular comprehensive price level for a fixed time frame.