Question

Find the inverse of {(−1, 4), (−2, 1), (−3, 0), (−4, 2)}. Determine the domain and range of the inverse function.

Short answer

(a) The domain is (4,1,0,2).
(b) The range of inverse function (-1,-2-3,-4)

Step-by-step solution

Step 1. Given information

The given function is {(−1, 4), (−2, 1), (−3, 0), (−4, 2)} .

Step 2. Inverse of the function 

The inverse of the function is

[(4,-1),(1,-2),(0,-3),(2,-4)]

Step 3. Domain of inverse function 

The domain is (4,1,0,2).

Step 4.  Range of function 

The range of inverse function (-1,-2-3,-4)