Given two functions, determine the composition

Given two functions, determine the composition

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to evaluate and compose two functions, F of X and G of X. It introduces the concept of function composition, clarifies the symbol used for composition, and demonstrates how to substitute G of X into F of X. The tutorial concludes by simplifying the composed function, providing a clear understanding of the process.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the symbol 'fog' represent in the context of functions?

A symbol for composition

A symbol for subtraction

A type of function

A symbol for addition

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If G of X is 5X, what is the first step in composing it with F of X?

Plug G of X into F of X

Subtract G of X from F of X

Multiply G of X by F of X

Add G of X to F of X

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for F(5X) if F of X is 3X - 1?

3X - 5

15X - 1

5X - 3

3X + 5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed after substituting 5X into F of X?

Simplification

Division

Addition

Integration

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of the composition of F and G?

3X + 5

5X - 3

15X - 1

15X + 1

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