Simplifying Rational Functions

This video tutorial explains how to multiply and divide functions using specific notation. It provides examples of multiplying and dividing functions, including how to simplify the results. The video also covers evaluating these operations at a specific point and offers additional resources for further learning.

What does the notation FG(x) represent?

• Multiplying two functions

• Subtracting two functions

• Dividing two functions

• Adding two functions

If F(x) = x^2 - 1 and G(x) = x + 1, what is F * G(x)?

• x^3 - x^2 + x + 1

• x^3 + x^2 + x + 1

• x^3 + x^2 - x - 1

• x^3 - x^2 - x - 1

What is the first step in using the FOIL method for multiplying functions?

• Multiply the last terms

• Multiply the outer terms

• Multiply the inner terms

• Multiply the first terms

What does the notation F/G(x) represent?

• Subtracting two functions

• Adding two functions

• Multiplying two functions

• Dividing two functions

If F(x) = x^2 - 1 and G(x) = x + 1, what is F/G(x) after simplification?

• x^2 - 1

• x^2 + 1

• x + 1

• x - 1

What is the purpose of factoring in simplifying division of functions?

• To add terms

• To subtract terms

• To multiply terms

• To cancel terms

What is the simplified form of F/G(x) if F(x) = x^2 - 1 and G(x) = x + 1?

• x + 1

• x^2 + 1

• x^2 - 1

• x - 1

What is the purpose of factoring in simplifying division of functions?

• To add terms

• To cancel terms

• To subtract terms

• To multiply terms

What is the simplified form of F/G(x) if F(x) = x^2 - 1 and G(x) = x + 1?

• x^2 + 1

• x^2 - 1

• x + 1

• x - 1

What is the purpose of factoring in simplifying division of functions?

• To multiply terms

• To add terms

• To subtract terms

• To cancel terms