Exploring Composition of Functions

This video tutorial from Algebra Test Helper introduces composite functions, explaining their significance in algebra. It begins with a basic understanding of function evaluation using examples, then demonstrates a step-by-step process of solving a composite function. The video concludes with encouragement to explore more resources on the website for further learning.

What is a composite function?

• A function that combines two functions

• A function that divides two numbers

• A function that multiplies two numbers

• A function that adds two numbers

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CCSS.HSF-BF.A.1C

What does the notation F(G(x)) represent?

• The function G applied to the result of F(x)

• The function F applied to the result of G(x)

• The sum of F and G

• The product of F and G

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CCSS.HSF-BF.A.1C

If F(x) = 2x - 3, what is F(2)?

• 3

• 2

• 4

• 1

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CCSS.HSF.IF.A.2

If G(x) = 5x + 1, what is G(z)?

• 5z + 1

• z + 1

• 5z - 1

• 5 + z

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CCSS.HSF.IF.A.2

What is the result of substituting x with z in G(x) = 5x + 1?

• 5 + z

• 5z + 1

• 5x + z

• z + 1

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CCSS.HSF.IF.A.2

What is the first step in evaluating F(G(x))?

• Multiply F and G

• Divide F by G

• Substitute G(x) into F

• Add F and G

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CCSS.HSF-BF.A.1C

If F(x) = 2x - 3 and G(x) = 5x + 1, what is F(G(x))?

• 10x - 1

• 10x + 3

• 10x - 3

• 10x + 1

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CCSS.HSF-BF.A.1C

What is the result of applying the distributive property to 2(5x + 1) - 3?

• 10x - 2 - 3

• 10x - 2 + 3

• 10x + 2 - 3

• 10x + 2 + 3

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CCSS.6.EE.A.3

What is the final result of F(G(x)) if F(x) = 2x - 3 and G(x) = 5x + 1?

• 10x + 3

• 10x - 3

• 10x + 1

• 10x - 1

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CCSS.HSF-BF.A.1C

Where can you find more resources on composite functions?

• algebratesthelper.com

• mathresources.com

• algebtesthelper.com

• mathhelper.com

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CCSS.HSF-BF.A.1C