Find the inverse of the function and state its domain and range .
-$$\{ ( - 3,4 ) , ( - 1,5 ) , ( 0,2 ) , ( 2,6 ) , ( 5,7 ) \}$$
A) $\{ ( 3,4 ) , ( 1,5 ) , ( 0,2 ) , ( - 2,6 ) , ( - 5,7 ) \} ; \mathrm { D } = \{ 3,1,0 , - 2 , - 5 \} ; \mathrm { R } = \{ 2,4,5,6,7 \}$

B) $\{ ( 3 , - 4 ) , ( 1 , - 5 ) , ( 0 , - 2 ) , ( - 2 , - 6 ) , ( - 5 , - 7 ) \} ; \mathrm { D } = \{ 3,1,0 , - 2 , - 5 \} ; \mathrm { R } = \{ - 7 , - 6 , - 5 , - 4 , - 2 \}$

C) $\{ ( 4 , - 3 ) , ( 5 , - 1 ) , ( 2,0 ) , ( 6,2 ) , ( 7,5 ) \} \mathrm { D } = \{ 2,4,5,6,7 \} ; \mathrm { R } = \{ - 3 , - 1,0,2,5 \}$

D) $\{ ( - 3 , - 4 ) , ( - 1 , - 5 ) , ( 0 , - 2 ) , ( 2 , - 6 ) , ( 5 , - 7 ) \} ; \mathrm { D } = \{ - 3 , - 1,0,2,5 \} ; \mathrm { R } = \{ - 7 , - 6 , - 5 , - 4 , - 2 \}$

Question

Find the inverse of the function and state its domain and range .
-$$\{ ( - 3,4 ) , ( - 1,5 ) , ( 0,2 ) , ( 2,6 ) , ( 5,7 ) \}$$
A) $\{ ( 3,4 ) , ( 1,5 ) , ( 0,2 ) , ( - 2,6 ) , ( - 5,7 ) \} ; \mathrm { D } = \{ 3,1,0 , - 2 , - 5 \} ; \mathrm { R } = \{ 2,4,5,6,7 \}$

B) $\{ ( 3 , - 4 ) , ( 1 , - 5 ) , ( 0 , - 2 ) , ( - 2 , - 6 ) , ( - 5 , - 7 ) \} ; \mathrm { D } = \{ 3,1,0 , - 2 , - 5 \} ; \mathrm { R } = \{ - 7 , - 6 , - 5 , - 4 , - 2 \}$

C) $\{ ( 4 , - 3 ) , ( 5 , - 1 ) , ( 2,0 ) , ( 6,2 ) , ( 7,5 ) \} \mathrm { D } = \{ 2,4,5,6,7 \} ; \mathrm { R } = \{ - 3 , - 1,0,2,5 \}$

D) $\{ ( - 3 , - 4 ) , ( - 1 , - 5 ) , ( 0 , - 2 ) , ( 2 , - 6 ) , ( 5 , - 7 ) \} ; \mathrm { D } = \{ - 3 , - 1,0,2,5 \} ; \mathrm { R } = \{ - 7 , - 6 , - 5 , - 4 , - 2 \}$

Quizplus · Accepted Answer

To find the inverse of a function, swap the x and y values in each ordered pair. The original domain becomes the range of the inverse, and the original range becomes the domain of the inverse.

Find the Inverse of the Function and State Its Domain {(−3,4),(−1,5),(0,2),(2,6),(5,7)}\{ ( - 3,4 ) , ( - 1,5 ) , ( 0,2 ) , ( 2,6 ) , ( 5,7 ) \}{(−3,4),(−1,5),(0,2),(2,6),(5,7)}

Find the Inverse of the Function and State Its Domain $\{ ( - 3,4 ) , ( - 1,5 ) , ( 0,2 ) , ( 2,6 ) , ( 5,7 ) \}$