Divide two functions and determine the domain

Divide two functions and determine the domain

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of functions F of X and G of X, and how to evaluate them. It discusses the domain of these functions, particularly focusing on the inclusion and exclusion of certain values. An example problem is solved, demonstrating how to evaluate G of X over F of X for a specific value, highlighting the importance of understanding domain restrictions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for G(x) if F(x) is x^2?

x^2 - 1

x^2 + 1

x - 1

x + 1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is -1 not included in the domain of the function?

Because it is not a real number

Because it makes both numerator and denominator zero

Because it makes the denominator zero

Because it makes the numerator zero

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What symbol is used to represent that -1 is not included in the domain?

Angle bracket

Bracket

Parenthesis

Curly brace

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of evaluating G(x)/F(x) when x = 3?

1/3

9/4

3/9

4/9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to evaluate G(x)/F(x) for a specific value?

Multiplication

Subtraction

Addition

Substitution