Find the inverse of the function and state its domain and range .
-{(6, -2), (2, -6), (8, -8), (-8, 8)}
A){(-2, 6), (-6, 2), (-8, 8), (8, -8)} D = {-2, -6, -8, 8}; R = {6, 2, 8, -8}
B) D = { 6, 2, 8, -8}, R =
C){(8, 8), (8, 2), (-2, 6), (-8, -8)}; D = {8, 8, -2, -8}; R = {8, 2, 6, -8}
D){(8, 8), (-6, 2), (-2, 2), (-8, -8)}; D = {(8, -6, -2, -8}; R = {8, 2, -8}

Question

Find the inverse of the function and state its domain and range .
-{(6, -2), (2, -6), (8, -8), (-8, 8)}
A){(-2, 6), (-6, 2), (-8, 8), (8, -8)} D = {-2, -6, -8, 8}; R = {6, 2, 8, -8} 
B) D = { 6, 2, 8, -8}, R = 
C){(8, 8), (8, 2), (-2, 6), (-8, -8)}; D = {8, 8, -2, -8}; R = {8, 2, 6, -8} 
D){(8, 8), (-6, 2), (-2, 2), (-8, -8)}; D = {(8, -6, -2, -8}; R = {8, 2, -8}

Quizplus · Accepted Answer

To find the inverse, we switch the domain and range of the function and swap the positions of the ordered pairs. A is the correct choice because it has the swapped ordered pairs and correct domain and range. To find the inverse, we simply switch the x and y values of each point to get {(-2, 6), (-6, 2), (-8, 8), (8, -8)}. The domain and range of the original function become the range and domain of the inverse, respectively. Therefore, the domain is {-2, -6, -8, 8} and the range is {6, 2, 8, -8}. Choice A matches this answer.

Find the Inverse of the Function and State Its Domain