Find the Inverse of the Function and State Its Domain $$\{ ( - 5 , - 3 ) , ( 3,5 ) , ( 1,1 ) , ( - 1 , - 1 ) \}$$

question 65

Multiple Choice

Find the inverse of the function and state its domain and range .
- $$\{ ( - 5 , - 3 ) , ( 3,5 ) , ( 1,1 ) , ( - 1 , - 1 ) \}$$

• A) \(\{ ( - 3 , - 5 ) , ( 5,3 ) , ( 1,1 ) , ( - 1 , - 1 ) \} \mathrm { D } = \{ - 3,5,1 , - 1 \} ; \mathrm { R } = \{ - 5,3,1 , - 1 \}\)
• B) \(\left\{ \left( - 5 , - \frac { 1 } { 3 } \right) , \left( 3 , \frac { 1 } { 5 } \right) , ( 1,1 ) , ( - 1 , - 1 ) \right\} \mathrm { D } = \{ - 5,3,1 , - 1 \} , \mathrm { R } = \left\{ - \frac { 1 } { 3 } , \frac { 1 } { 5 } , 1 , - 1 \right\}\)
• C) \(\{ ( - 1,1 ) , ( 5,3 ) , ( - 3,3 ) , ( 1 , - 1 ) \} ; \mathrm { D } = \{ ( - 1,5 , - 3,1 \} ; \mathrm { R } = \{ 1,3 , - 1 \}\)
• D) \(\{ ( - 1,1 ) , ( 1,3 ) , ( - 3 , - 5 ) , ( 1 , - 1 ) \} ; \mathrm { D } = \{ - 1,1 , - 3,1 \} ; \mathrm { R } = \{ 1,3 , - 5 , - 1 \}\)

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Definitions:

Carbon

A chemical element with symbol C and atomic number 6, essential to all known life forms and the basis of organic chemistry.

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Green Plants

Organisms that perform photosynthesis, using sunlight, carbon dioxide, and water to produce oxygen and carbohydrates, playing a crucial role in Earth's ecosystems.

Inverted Energy Pyramid

A reversal of the typical energy flow seen in food chains, where higher trophic levels have greater biomass or energy than the lower levels, typically occurring in aquatic ecosystems.