How To Perform the Composition of Two Functions

The video tutorial explains the concept of function composition using G of H of X and H of G of X. It begins with an introduction to these compositions, followed by a review of basic function operations using F of X. The teacher then explains double substitution with Z of X. The tutorial proceeds with detailed calculations of G of H of X and H of G of X, demonstrating how to substitute one function into another. The session concludes with a Q&A to clarify any doubts.

What is the main concept introduced in the beginning of the lesson?

• Differentiation

• Integration

• Function Composition

• Matrix Multiplication

In the example F of X = 3X, what is F of 2?

• 6

• 5

• 3

• 9

What is the result of substituting X + 1 into the function F of X = 3X?

• 3X + 1

• 3X + 3

• 3X

• X + 3

How is G of H of X calculated if G of X = 5X and H of X = X^2 + X - 1?

• X^2 + 5X - 1

• 5X^2 + X - 1

• 5X^2 + 5X - 1

• 5(X^2 + X - 1)

What is the final expression for H of G of X if G of X = 5X?

• X^2 + 5X - 1

• 5X^2 + X - 1

• 5X^2 + 5X - 1

• 25X^2 + 5X - 1