How to Find the Composition of Two Functions

How to Find the Composition of Two Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains how to find the composition of functions, specifically F of G of X, G of F of X, and F of F of X. The instructor provides a brief overview of function composition and demonstrates how to solve each type using specific functions: F(X) = X^2 and G(X) = X - 1. The tutorial includes step-by-step examples for each composition, highlighting the process of substituting one function into another and simplifying the result. Key concepts such as exponent rules are also discussed.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to simplify the expression G of F of X when F of X is X^2.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final result when you evaluate F of G of X?

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