Find the inverse of the relation. Use proper notation. {(8,−1),(−8,−1),(−2,−8),(2,8)} please help!!

Mathematics

1 answer:

tiny-mole [99]3 years ago

6 0

Answer: The inverse relation is { (-1, -8), (-1, -8), (-8, -2), (8, 2) }

The inverse is effectively the opposite of the original relation. It undoes what the original relation does. So we'll swap the x and y values for each given point in the form (x,y). Something like (8,-1) becomes (-1,8). The other points follow the same pattern as well.

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What is/are the classification of functions that has its inverse?

UNO [17]

Answer:

Invertible functions

Step-by-step explanation:

An inverse of a function is one that reverses the operation of the function such that the result of the function on a variable, is reversed back to the initial variable

Therefore, when we have the the result of the function, f on x as y given as follows;

f(x) = y

The inverse of the function, g on the result, y gives the initial variable, x as follows;

g(y) = x

Example of invertible functions includes;

f(x) = x²

An example of a non-invertible function includes;

f(x) = 2·x².

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