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Virtual Math Learning Center

Virtual Math Learning Center Texas A&M University Virtual Math Learning Center
tags:
Algebra Series Domain Fraction Rational Function

Properties of Rational Functions and Expressions Video 9

Author: John Fisk

This video explains how to multiply and divide rational expressions and explains how to keep track of the restrictions on the domain. The video solves the following problems to explain the principles. You can try to solve the problems before watching the video and click "Reveal Answer" to see if you are correct.

Problem: Perform the following operations

  1. \(\dfrac{2}{3}\cdot \dfrac{4}{5}\div \dfrac{6}{7x},\quad\) \(x\neq 0\)
  2. \(\dfrac{2x^2-2}{x}\cdot \dfrac{x+1}{x-1},\quad\) \(x\neq 0, x\neq 1\)
  3. \(\dfrac{ \frac{2h}{x+3} +1}{h},\quad\) \(x\neq -3, h\neq 0\)

  1. \(\dfrac{28}{45} x,\quad\) \(x\neq 0\)
  2. \(\dfrac{2(x+1)^2}{x},\quad\) \(x\neq 0, x\neq 1\)
  3. \(\dfrac{2}{x+3}+\dfrac{1}{h},\quad \) \(x\neq -3, h\neq 0\)

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