How to divide two linear functions and determine the domain

How to divide two linear functions and determine the domain

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses the concept of division in mathematics, highlighting how it differs from other operations by introducing constraints on the domain. It explains that when dividing functions, the denominator cannot be zero, which affects the domain of the function. The tutorial provides an example to illustrate this point and demonstrates how to solve for the domain, emphasizing that the domain includes all real numbers except where the denominator equals zero. The video also touches on graphing the domain and concludes with a reminder not to rely too heavily on notation.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the domain of the function F(X) = (3X - 1) / (1/2X + 1)?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to express the domain using interval notation.

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