Inverse Functions

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What is the notation for an inverse function?

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Front

What is an inverse function?

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Front

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 in the equation and solve for y.

Front

What is the relationship between a function and its inverse?

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Front

What is the domain of an inverse function?

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

Front

What is the range of an inverse function?

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

Front

What is the graphical representation of an inverse function?

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Front

What is the condition for a function to have an inverse?

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A function must be one-to-one (bijective) to have an inverse.

Front

How can you determine if a function is one-to-one?

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A function is one-to-one if it passes the horizontal line test, meaning no horizontal line intersects the graph more than once.

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