Practice #29 - Finding Inverses of Functions

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What is the definition of the inverse of a function?

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The inverse of a function f(x) is a function f^{-1}(x) such that f(f^{-1}(x)) = x for all x in the domain of f^{-1}.

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How do you find the inverse of a function algebraically?

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

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The inverse is not a function because it fails the horizontal line test.

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What is the horizontal line test?

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A test to determine if a function is one-to-one; if any horizontal line intersects the graph more than once, the function does not have an inverse.

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True, because f(g(x)) = x and g(f(x)) = x.

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