Find the Composition $f ( x ) = \frac { 3 } { x + 5 }$

question 73

Multiple Choice

Find the composition.
-If $f ( x ) = \frac { 3 } { x + 5 }$ and $g ( x ) = \frac { 1 } { 7 x }$ , find $f [ g ( x ) ]$

• A) \(\frac { 1 x + 5 } { 21 x }\)
• B) \(\frac { 21 x } { 1 + 35 x }\)
• C) \(\frac { 3 x } { 1 + 35 x }\)
• D) \(\frac { 21 x } { 1 - 35 x }\)

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Definitions:

Third Party

An individual or group aside from the two primarily involved in a situation, often providing services, intervening, or affected by the actions of the main parties.

Original Parties

The entities or individuals who enter into a contract or legal agreement initially, before any assignments or transfers.

Fundamental Breach

A severe violation of a contract that permits the aggrieved party to terminate the agreement and possibly seek compensation for damages.

Exemption Clause

A contractual term that limits one party's liability for breach of contract, negligence, or other unforeseen circumstances.