Answered

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Choose the correct table for the inverse of the relation below

Choose The Correct Table For The Inverse Of The Relation Below class=

Sagot :

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,

[tex](x,y)[/tex]

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

[tex](y,x)[/tex]

In other words, what we have is;

[tex]\begin{gathered} f(x)=(x,y) \\ \\ f^{-1}(x)=(y,x) \end{gathered}[/tex]

The function given has the following ordered pairs;

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

Therefore, the inverse would be;

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

ANSWER:

Therefore, option A is the correct answer

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