Master Determine if two functions are inverses of each other formally ex 2

Master Determine if two functions are inverses of each other formally ex 2

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine if two functions are inverses by composing them in both orders and simplifying to see if the result is the identity function, X. It provides multiple examples, demonstrating the process of plugging one function into another, simplifying, and checking if the result is X. The tutorial also highlights common mistakes and clarifies the importance of verifying both compositions to confirm inverse relationships.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the identity function, and how is it represented in the context of inverse functions?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you identify a mistake when determining if two functions are inverses?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn if the composition of two functions does not yield the identity function?

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