How to apply the compostion of two functions

How to apply the compostion of two functions

Assessment

Interactive Video

Mathematics, Performing Arts

11th Grade - University

Hard

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The video tutorial explains the concept of function composition using G of F, represented as G of F of X. The instructor uses a mnemonic involving the word 'golf' to help remember the concept. The tutorial demonstrates how to plug the F of X function into the G of X function, using examples to illustrate the process. It emphasizes understanding inputs in functions and concludes with a final explanation of the concept.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mnemonic does the instructor use to remember the concept of G of F?

Giraffe

Fog

Golf

Gulf

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of G of 3 if G of X equals negative X plus 1?

Negative 4

2

4

Negative 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the instructor say about plugging different inputs into a function?

The input should be a constant.

The input must be a letter.

The input can be any expression or value.

The input must always be a number.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for G of F of X if F of X is X squared?

X squared minus 1

Negative X squared plus 1

X plus 1

Negative X plus 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the instructor describe the process of substituting F of X into G of X?

As a simple addition

As a complex multiplication

As plugging one function into another

As a subtraction operation