Finding Inverse Functions Concepts

The video tutorial explains how to convert a function into its inverse. It begins by introducing the concept of inverse functions and the notation used. The process involves two main steps: flipping the variables and solving for Y. The tutorial provides a detailed walkthrough of these steps, including handling negative values and different ways to express the final inverse function. The explanation is straightforward, aiming to simplify the concept for learners.

What is the notation used to represent the inverse of a function G(x)?

• G^-1(x)

• G(x)^-1

• 1/G(x)

• G(x) + 1

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CCSS.HSF-BF.B.4A

What is the first step in finding the inverse of a function?

• Flip the variables

• Add 1 to both sides

• Solve for x

• Multiply by -1

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CCSS.6.EE.C.9

When flipping variables, what does the variable y become?

• It becomes a constant

• It becomes x

• It becomes z

• It remains y

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CCSS.HSF-BF.B.4A

After flipping the variables, what is the next step in finding the inverse function?

• Multiply by 2

• Add 2 to both sides

• Solve for y

• Solve for x

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CCSS.6.EE.B.7

What operation is performed to isolate y in the equation x + 1 = -2y?

• Subtract 1

• Divide by -2

• Multiply by -2

• Add 2

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CCSS.HSF-BF.B.4D

How can you express the inverse function if you want to avoid negatives in the denominator?

• Multiply the entire fraction by -1

• Move the negative to the numerator

• Leave it as is

• Add 1 to the numerator

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CCSS.HSF-BF.B.4A

What is an alternative way to write the inverse function if you distribute the negative?

• x - 1 over 2

• x + 1 over 2

• -x + 1 over 2

• -x - 1 over 2

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CCSS.HSF-BF.B.4A

What is the key concept to remember when finding an inverse function?

• Add 1 to both sides

• Multiply by 2

• Subtract x from both sides

• Flip the variables and solve for y

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CCSS.HSF-BF.B.4D

Why might someone choose to express the inverse function without negatives in the denominator?

• It is easier to solve

• It is required by all textbooks

• It is mathematically incorrect

• It looks cleaner

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CCSS.HSF-BF.B.4B

What is the final step in confirming the inverse function?

• Ensure all variables are positive

• Add 1 to the result

• Verify by substituting back into the original function

• Check if the original function is linear

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CCSS.HSF-BF.B.4B