Determine the Domain and Range of the Inverse Function $f ^ { - 1 }$

question 93

Multiple Choice

Determine the domain and range of the inverse function $f ^ { - 1 }$ of the following function $f$ $f ( x ) = - | x + 7 | - 1$ , where $x > - 7$

• A) Domain: \([ - 7 , \infty )\); Range: \([ - 1 , \infty )\)
• B) Domain: \(( - \infty , - 1 ]\); Range: \([ - 7 , \infty )\)
• C) Domain: \([ - 7 , - 1 ]\); Range: \([ - 7 , \infty )\)
• D) Domain: \(( - \infty , - 7 ]\); Range: \([ 1 , \infty )\)
• E) Domain: \(( - \infty , \infty )\); Range: \(( - \infty , \infty )\)

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Definitions:

Par Value

A nominal value assigned to a security by the issuer, which represents its legal capital.

Current Price

Current price typically refers to the present market price of a stock, bond, commodity, or any other financial asset, reflecting its worth based on supply and demand dynamics.

Coupon Rate

The yearly interest rate a bond yields, represented as a percentage of its par value.

Semiannually

Occurring twice a year; a term often used in finance to indicate payments or calculations made every six months.