Evaluating a Composition of Two Functions Rational and Radical

The video tutorial explains the process of function composition, specifically focusing on calculating G of F of X. It begins with an introduction to the concept, followed by a detailed calculation of F of -1. The result is then used in the G of X function, and the expression is simplified using common denominators. The tutorial concludes with the final calculation, resulting in the value 11/6.

What is the first step in evaluating G(F(x)) when given a specific value for x?

• Find the integral of F(x)

• Directly substitute into G(x)

• Substitute the value into F(x)

• Find the derivative of F(x)

How can you rewrite the number 2 to have a denominator of 6?

• 12/6

• 6/2

• 1/3

• 2/6

Why is it important to have common denominators when simplifying expressions?

• To make multiplication easier

• To allow for subtraction or addition

• To convert fractions to decimals

• To find the greatest common factor

What is the final result of evaluating G(F(-1)) in the given example?

• 11/6

• 6/11

• 5/6

• 1/6

What is the main focus of the final section of the video?

• Finding the domain of the function

• Evaluating the value of the function composition

• Graphing the function

• Solving differential equations