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Find the inverse of the one-to-one function. State the domain and range of the inverse function. {(-6, 4), (-5, 11), (-4, 15), (-3, 3), (-2, 9)} Which of the following is the inverse function? {(4, -2), (11, -3), (15, -4), (3, -5), (9, -6)} {(4, -6), (11, -5), (15, -4), (3, -3), (9, -2)} {(6, 4), (5, 11), (4, 15), (3, 3), (2, 9)} {(-2, 9), (-3, 3), (-4, 15), (-5, 11), (-6, 4)} What is the domain of the inverse function? {9} {4, 11, 15, 3, 9} {-6, -5, -4, -3, -2} {2, 3, 4, 5, 6} What is the range of the inverse function? {-6, -5, -4, -3, -2} {-2} {4, 11, 15, 3, 9} {2, 3, 4, 5, 6}

Solution

Given one-to-one function {(-6,4),(-5,11),(-4,15),(-3,3),(-2,9)}

1)

Inverse of function can be obtained by interchanging the x and y values.

Therefore, inverse of given function is

{(4,-6),(11,-5),(15,-4),(3,-3),(9.-2)}

So, Option B is the correct one.

2)

Domain of a fuction is all the x-values.

Therfore, domain of inverse function is {4,11,15,3,9}

So, Option B is the correct one.

3)

Range of a function is all the y-values.

Range of a inverse function is {-6,-5,-4,-3,-2}

So, Option A is the correct one.