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How to Apply the Composition of Two Functions Square and Square Root

How to Apply the Composition of Two Functions Square and Square Root

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to find F of G of X by substituting the G of X function into the F of X function. It provides examples of substituting values into functions and demonstrates the simplification process. The tutorial concludes with the final solution for F of G of X, emphasizing the importance of understanding function composition.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does F of G of X represent in function composition?

Substituting G of X into F of X

Multiplying F of X and G of X

Adding F of X and G of X

Dividing F of X by G of X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If F of X = X^2 + 2X - 5, what is F(1)?

1

3

-2

0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for G of X in the given problem?

3X

X^2 + 3

sqrt X + 3

X + 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you square a square root in the context of this problem?

It doubles the value

It cancels out the square root

It adds 3 to the value

It halves the value

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified expression for F of G of X?

X + 3 - 5

sqrt X + 3

X^2 + 2X - 5

X + 2 sqrt X + 3 - 2

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