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Inverse Functions
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CanadaON
Grade 11

Finding inverse functions

Lesson

Interactive practice questions

Consider the function $f\left(x\right)=\sqrt[3]{x}+5$f(x)=3√x+5, which has been graphed below.

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Find an expression for the inverse function $f^{-1}\left(x\right)$f−1(x). You may let $y=f^{-1}\left(x\right)$y=f−1(x).

Easy
4min
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Outcomes

11U.A.1.1

Explain the meaning of the term function, and distinguish a function from a relation that is not a function, through investigation of linear and quadratic relations using a variety of representations and strategies

11U.A.1.4

Relate the process of determining the inverse of a function to their understanding of reverse processes

11U.A.1.5

Determine the numeric or graphical representation of the inverse of a linear or quadratic function, given the numeric, graphical, or algebraic representation of the function, and make connections, through investigation using a variety of tools, between the graph of a function and the graph of its inverse

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