Inding the Domain from the Composition of Two Functions

The video tutorial explains how to compose functions by plugging G(x) into F(x) and discusses the importance of understanding the domain of a function. It covers setting the denominator to zero to find domain restrictions and explores the concept of square roots in determining domain limits. The tutorial also explains how to exclude certain values from the domain using parentheses and union, and clarifies the concept of infinity in the context of domain, emphasizing that infinity is not a tangible number but a concept.

What is the first step in composing the function F(x) with G(x)?

• Replace X with G(x) in F(x)

• Add G(x) to F(x)

• Divide F(x) by G(x)

• Multiply F(x) by G(x)

When solving a rational equation, what should you set the denominator equal to?

• 1

• Negative one

• 0

• Infinity

How do you remove a square root when solving for X?

• Square it

• Take the cube root

• Add one

• Divide by two

Which numbers can be used in a function with a square root in the domain?

• Only positive numbers

• Only negative numbers

• Non-negative numbers

• All real numbers

What is the domain of the function if the denominator is zero at X=1?

• X cannot be 1

• X must be negative

• X can be any number

• X must be 1

Why is infinity not included in the domain of a function?

• Infinity is equal to zero

• Infinity is less than zero

• Infinity is not a number, but a concept

• Infinity is a tangible number

What does a bracket in domain notation signify?

• The value is zero

• The value is excluded

• The value is included

• The value is negative