Evaluating and Composing Functions

The video tutorial explains how to compose two functions, using f(x) and g(x) as examples. It begins with a basic introduction to function composition, followed by a detailed explanation of evaluating functions. The tutorial explores creative inputs for functions, such as variables and expressions, and provides examples of composing functions with different inputs. Advanced techniques and notation for function composition are also covered, offering a comprehensive understanding of the topic.

What does it mean to compose two functions?

• Adding two functions together

• Plugging one function into another

• Subtracting one function from another

• Multiplying two functions

In the context of functions, what does 'f(x)' represent?

• The output value

• The input variable

• The name of the function

• The rule of the function

If f(x) = 2x - 3, what is f(1)?

• 3

• 2

• -1

• 1

How can functions be represented in terms of input and output?

• As a single number

• As a fraction

• As a matrix

• As a coordinate point

What is the result of f(x) = 2x - 3 when x = 0?

• -3

• 0

• 3

• 2

What is the result of f(x) = 2x - 3 when x = 2?

• 0

• 3

• 1

• 4

What is the result of f(x) = 2x - 3 when x = -1?

• 1

• -1

• -5

• 3

What is the result of f(x) = 2x - 3 when x = 3?

• 1

• 6

• 0

• 3

What is the result of f(x) = 2x - 3 when x = 4?

• 3

• 5

• 1

• 6

What is the result of f(x) = 2x - 3 when x = 5?

• 7

• 3

• 1

• 6