Composing Two Functions then Determining the Domain

The video tutorial explains the composition symbol, which represents f of g of x, and reviews the concept of functions and their evaluation. It provides an example of evaluating a function with a specific input and discusses the process of replacing variables in functions.

What does the composition symbol represent in mathematics?

• A multiplication operation

• A division operation

• A subtraction operation

• f of g of x

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

• 0

• 1

• 5

• 3

What is the result of replacing x with 2 in the function f(x) = 3x - 2?

• 10

• 8

• 6

• 4

In the function f(x) = 3x - 2, what happens when you replace x with h?

• The function becomes f(h) = 3x + 2

• The function becomes f(h) = 3h + 2

• The function becomes f(h) = 3h - 2

• The function becomes f(h) = 3x - 2

How do you evaluate a function when the input is a variable like h?

• Add h to the function

• Replace all instances of x with h

• Multiply the function by h

• Subtract h from the function