Learn How to Write the Domain from the Composition of Two Functions

The video tutorial introduces an uncommon notation GFG FX and explains how to evaluate functions using this notation. It covers the process of composing functions, specifically focusing on plugging G of X into F of X. The tutorial also guides students on finding the domain of functions, emphasizing the importance of inequalities in determining valid input values.

What does the notation GFG FX represent in the context of functions?

• A function multiplied by itself

• A function subtracted from another function

• A function composed with another function

• A function divided by another function

When composing functions, what is the first step you should take?

• Divide one function by the other

• Substitute one function into the other

• Add the two functions together

• Multiply the two functions

In the example given, what is the expression for F(G(X)) if F(X) = 1/sqrt(X - 1)?

• sqrt(G(X) - 1)

• 1/sqrt(G(X) - 1)

• G(X) - 1

• 1/(G(X) - 1)

What condition must be met for the domain of the function 1/sqrt(X - 1)?

• X must be less than 1

• X must be greater than 1

• X can be any real number

• X must be equal to 1

How would you express the domain of the function 1/sqrt(X - 1) in interval notation?

• (1, ∞)

• (-∞, 1)

• [1, ∞)

• (0, ∞)