Inverses of Quadratics and Roots

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What is the inverse of the function @@y=4+ \\sqrt{x-8}@@?

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What does it mean to find the inverse of a function?

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The x's and y's are switched.

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Find the inverse of the equation @@y= \\sqrt[]{\frac{-x-2}{3}}-3@@.

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Front

Find the inverse function of @@y= \\sqrt{5x}@@.

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Front

What is the general process to find the inverse of a function?

Back

1. Replace y with x and x with y. 2. Solve for y. 3. Replace y with f^{-1}(x).

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What is the domain of the function @@y= \\sqrt{x-8}@@?

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Front

What is the range of the function @@y= \\sqrt{x-8}@@?

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How do you determine if a function has an inverse?

Back

A function has an inverse if it is one-to-one (passes the horizontal line test).

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