Exploring Function Operations: Addition, Subtraction, Multiplication, and Division

This video tutorial covers the various methods of combining functions, including addition, subtraction, multiplication, division, and composition. It explains each operation with examples, highlighting the importance of domain restrictions in division. The tutorial also demonstrates how to use tables and graphs to combine functions, providing a comprehensive understanding of the topic.

Which of the following operations is NOT mentioned as a way to combine functions?

• Subtraction

• Addition

• Composition

• Exponentiation

What is the result of adding the functions f(x) = 3x - 17 and g(x) = x + 10?

• 4x - 7

• 2x - 27

• 3x + 13

• 3x^2 + 13x - 170

When subtracting the functions f(x) = 3x - 17 and g(x) = x + 10, what is the correct result?

• 4x - 7

• 2x - 27

• 3x^2 + 13x - 170

• 3x + 13

What is the first step in multiplying the functions f(x) = 3x - 17 and g(x) = x + 10?

• Combine like terms

• Distribute each term

• Subtract the functions

• Find the domain restrictions

What is the final simplified form of the product of f(x) = 3x - 17 and g(x) = x + 10?

• 2x - 27

• 4x - 7

• 3x^2 + 13x - 170

• 3x + 13

What must be considered when dividing functions to avoid undefined values?

• Using the area model

• Distributing terms

• Domain restrictions

• Combining like terms

What is the result of dividing f(x) = 3x - 17 by g(x) = x + 10?

• 4x - 7

• 3x^2 + 13x - 170

• 3x - 17 / x + 10

• 2x - 27

In the composition of functions, what does f(g(x)) represent?

• Adding f(x) and g(x)

• Subtracting g(x) from f(x)

• Substituting g(x) into f(x)

• Multiplying f(x) and g(x)

What is the result of the composition f(g(x)) if f(x) = 3x - 17 and g(x) = x + 10?

• 4x - 7

• 2x - 27

• 3x + 13

• 3x^2 + 13x - 170

If given a table of values, how would you find f(g(1))?

• Multiply f(1) and g(1)

• Subtract g(1) from f(1)

• Look up g(1) and then find f of that value

• Look up f(1) and g(1) and add them