Determine $( g \circ f ) ( x )$ For the Pair of Functions

question 52

Multiple Choice

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 1 } { x } \text { and } g ( x ) = \frac { 1 } { x - 7 }$

• A) \(\frac { 1 } { x - 7 x ^ { 2 } }\)
• B) \(\frac { x } { 1 - 7 x }\)
• C) \(\frac { 7 x } { 1 - 7 x }\)
• D) \(\frac { x } { 7 - x }\)

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Definitions:

Investment

The allocation of resources, such as time, money, or effort, in hope of generating a future benefit or profit.

Strip Bond

A debt security that has had its main components, namely the coupon and the principal, separated to be sold individually as zero-coupon bonds.

Maturity

The set date on which the principal amount of a financial instrument, such as a bond or loan, becomes due and payable.

Yield

The income return on an investment, such as the interest or dividends received, usually expressed as an annual percentage rate based on the investment's cost, its current market value, or its face value.