Find the inverse of each one to one function,

Question

state domain and range of the inverse function

{(-3, 5),(-2,9),(-1,2),(0,11),(1,-5)}

Answer 1

Step 1:

The function { (-3, 5), (-2, 9), (-1, 2), (0, 11), (1, -5)}

Domain of the function {-3, -2, -1, 0, 1}

Range of the function {5, 9, 2, 11, - 5}

If the a function is one-to-one, then range of inverse function is domain of the function and domain of inverse function is range of the function.

Domain of the inverse function {5, 9, 2, 11, - 5}.

Range of the inverse function {-3, -2, -1, 0, 1}.

Inverse function is {(5, -3), (9, -2), (2, -1), (11, 0), (-5, 1)}.

Solution:

Domain of the inverse function {5, 9, 2, 11, - 5}.

Range of the inverse function {-3, -2, -1, 0, 1}.

Inverse function is {(5, -3), (9, -2), (2, -1), (11, 0), (-5, 1)}.