Functions: The Basics, Composites, and Inverse Functions

Functions: The Basics, Composites, and Inverse Functions

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

10th - 12th Grade

Hard

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FREE Resource

The video tutorial covers the function F, explaining how to substitute values into it and find F(-7). It then demonstrates how to express the inverse of function F. The tutorial proceeds to introduce function G and shows how to calculate the composite function FG(3). Finally, it discusses domain restrictions for function G, emphasizing the importance of avoiding negative values under the root symbol.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of F(-7) when F(X) = 3X - 5/4?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the importance of using brackets when substituting values into the function F.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you express the inverse function of F in the form of F^(-1)(X)?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer for the inverse function of F of X?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of G(3) if G(X) = √(19 - X)?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process to find FG(3) using the values from F and G functions.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Which values of X cannot be included in the domain of G?

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