Finding the Inverse Function of a Composite Function

Finding the Inverse Function of a Composite Function

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains how to calculate the inverse function of H, given that H equals the composition of two functions, F and G. The process involves substituting G into F, rearranging the resulting equation to isolate X, and then factorizing and simplifying the equation. The final step is to express the inverse function of H in terms of X. The tutorial also outlines the marking scheme for the problem, emphasizing the importance of each step in the process.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the two functions defined in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you express the inverse function of H in relation to X?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in substituting the G function into the F function?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What operation is performed to eliminate the fraction in the equation?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result after rearranging the equation to isolate X?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression for the inverse function of H?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What were the marks allocated for each step in the process?

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