Learn How to Find the Domain of the Composition of Two Functions

The video tutorial explains function composition, focusing on F of G of X and its notation. It provides an example using H of X to demonstrate function evaluation. The tutorial discusses inverse operations and domain constraints, emphasizing that the domain is all real numbers due to the absence of discontinuities. It also covers graph behavior, including discontinuities and asymptotes, and explains why certain values are excluded from the domain.

What is the notation used for the composition of functions F and G?

• F of G

• F * G

• F + G

• F minus G

When evaluating the composition F of G of X, what is the result if G of X is the square root of X plus 1?

• X divided by 2

• X + 2

• X - 1

• X squared

Which of the following is NOT a constraint on the domain of a function?

• Dividing by zero

• Having a discontinuity

• Taking the square root of a negative number

• Multiplying by zero

What is a discontinuity in a graph?

• A point where the graph is quadratic

• A point where the graph is linear

• A point where the graph is continuous

• A point where the graph is undefined

What type of discontinuity involves asymptotes?

• Jump discontinuity

• Infinite discontinuity

• Removable discontinuity

• Point discontinuity