Question

Choose the correct table for the inverse of the relation below

Answer 1

GIVEN:

We are given a table of x and y values that defines a function.

Required;

To find the inverse of the relation as shown.

Step-by-step solution;

For a relation defined as an ordered pair in the form,

`(x,y)`

then its inverse is a relation of the set of ordered pairs in the form;

`(y,x)`

In other words, what we have is;

`\begin{gathered} f(x)=(x,y) \\ \\ f^(-1)(x)=(y,x) \end{gathered}`

The function given has the following ordered pairs;

`\begin{gathered} For\text{ }f(x): \\ \\ (-4,-3),(-1,1),(1,2),(3,6) \end{gathered}`

Therefore, the inverse would be;

`\begin{gathered} For\text{ }f^(-1)(x): \\ \\ (-3,-4),(1,-1),(2,1),(6,3) \end{gathered}`

ANSWER:

Therefore, option A is the correct answer