Understanding Inverses in Mathematics

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What is an inverse relation?

Back

An inverse relation is a set of ordered pairs obtained by swapping the elements of each ordered pair in the original relation.

Front

What are the inverses of these points/relation? (6,5) (13,14) (0,9)

Back

(5,6) (14,13) (9,0)

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables and solve for y.

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Back

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the notation for the inverse of a function f?

Back

Front

If f(x) = 2x + 3, what is f^{-1}(x)?

Back

Front

What is the graphical representation of a function and its inverse?

Back

The graph of a function and its inverse are symmetric with respect to the line y = x.

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What is the domain of the inverse function?

Back

The domain of the inverse function is the range of the original function.