Question

List the domain and the range that would indicate the inverse function for the given set of values:

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given set of values

`\lbrace(3,5),(-2,6),(4,-5),(12,-4)\rbrace`

STEP 2: Define the range and he domain of the given function

`\begin{gathered} domain=3,-2,4,12 \\ range=5,6,-5,-4 \end{gathered}`

STEP 3: Define an inverse function

An inverse function is found by interchanging the first and second coordinates of the given pair.

Hence, the inverse of the given sets of the values will give:

`\lbrace(5,3),(6,-2),(-5,4),(-4,12)\rbrace`

STEP 4: Get the domain and the range of the inverse function

The domain and the range of the given set of values is given as:

`\begin{gathered} domain=\lbrace5,6,-5,-4\rbrace \\ range=\lbrace3,-2,4,12\rbrace \end{gathered}`