How to divide two functions and create your constraint

The video tutorial explains the concept of composing functions, specifically G of F of X. It discusses the process of simplifying expressions and identifying constraints, such as ensuring the denominator is not zero. The tutorial highlights the differences in answers and constraints when dividing functions. It concludes with a preview of more complex topics involving factoring and solving for zero in future lessons.

What is the initial step in setting up the function G of F of X?

• Divide F by G

• Multiply G by F

• Take G of X and divide by X squared

• Add F and G

Why is it important to consider the denominator in the function G of F of X?

• To simplify the numerator

• To make it equal to one

• To avoid division by zero

• To ensure it is always positive

What constraint must be added to the function G of F of X?

• X must equal zero

• X must be less than zero

• X cannot equal zero

• X must be greater than zero

What is the next step after identifying the constraint in G of F of X?

• Simplify the numerator

• Break up the function into parts

• Ensure the constraint is included in the solution

• Multiply the function by a constant

What happens if the denominator is a quadratic expression like X^2 + 6X + 5?

• The numerator must be adjusted

• The function simplifies automatically

• You need to factor it to find solutions

• The function becomes undefined