Math 3_Inverse of Functions

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What is an inverse function?

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An inverse function reverses the operation of the original function. If the function is f(x), its inverse is denoted as f^{-1}(x) such that f(f^{-1}(x)) = x.

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How can you determine if two functions are inverses of each other?

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Two functions f(x) and g(x) are inverses if f(g(x)) = x and g(f(x)) = x for all x in the domain.

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What is the graphical representation of inverse functions?

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Inverse functions reflect over the line y = x. If (a, b) is a point on f(x), then (b, a) will be on f^{-1}(x).

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How do you find the inverse of a function given in a table?

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To find the inverse from a table, swap the x and y values for each ordered pair.

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