Function Operations and Composition

The video tutorial covers function operations, including addition, subtraction, multiplication, and division of functions. It provides examples for each operation and explains the concept of function composition. The lesson concludes with instructions for practice and an upcoming quiz.

What is the primary focus of section 66 in the book?

• Solving equations

• Graphing functions

• Matrix operations

• Function operations

How can function operations be represented?

• Using graphs

• Using tables

• Using parentheses

• Using matrices

What does f + g represent in function operations?

• Division of f by g

• Multiplication of f and g

• Addition of f and g

• Subtraction of g from f

If f(x) = 4x + 7 and g(x) = x + x, what is f + g?

• 5x + 7

• 4x + 7

• 6x + 7

• 2x + 7

What is the result of g - f if f(x) = 4x + 7 and g(x) = x + x?

• 3x - 7

• -3x + √x - 7

• x - 7

• -3x + 7

What is the first step in multiplying two functions?

• Divide the functions

• Distribute or FOIL

• Subtract the functions

• Add the functions

If f(x) = x^2 - 9 and g(x) = x + 3, what is f * g?

• x^3 + 3x^2 - 9x - 27

• x^3 - 9x - 27

• x^2 + 3x - 9

• x^3 + 3x - 27

What must be considered when dividing functions?

• The restrictions on the domain

• The graph of the functions

• The product of the functions

• The sum of the functions

What is the result of f / g if f(x) = x^2 - 9 and g(x) = x + 3?

• x^2 - 9

• x + 9

• x - 3

• x + 3

What is the notation for function composition?

• f(g(x))

• f - g

• f * g

• f + g