Pre-Calculus - How to evaluate the composition of two functions and determine the domain

Pre-Calculus - How to evaluate the composition of two functions and determine the domain

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the addition of functions, explaining how to add two functions, F(x) and G(x), and the importance of identifying the domain of the resulting function. The domain is defined as the set of X values that can be used in the function, focusing on values greater than or equal to zero. The tutorial concludes with an example to illustrate the concept.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the addition of functions F of X and G of X entail?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of identifying like terms when adding functions?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the domain of the function resulting from the addition of F of X and G of X?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the restrictions on the values of X when considering the domain for the function F of X = X^2 + 1 and G of X = sqrt(X)?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the domain of the function is all values greater than or equal to 0.

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