Evaluate the Composition of Two Functions

Evaluate the Composition of Two Functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the composition of functions, focusing on evaluating G(F(X)). The instructor sets up an example, demonstrates the substitution of F(X) into G(X), and evaluates it with specific values. The roles of F(X) and G(X) are clarified, and the process is recapped for better understanding.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the final example discussed in the video?

Evaluating G of G of X

Evaluating F of F of X

Evaluating G of F of X

Evaluating F of G of X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When substituting F of X into G of X, what is the result if X is replaced by -3?

Square root of 10

Square root of 9

Square root of 12

Square root of 15

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for F of X in the example?

X^2 + 1

X + 1

Square root of X

X^2 - 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the input value for the G of X function in the example?

X^2 + 1

2X + 1

Square root of X

X

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the process of plugging F of X into G of X demonstrate?

How to add two functions

How to differentiate two functions

How to multiply two functions

How to compose two functions