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 guides students through evaluating the function G of 1, which involves calculating the square root of 1 plus 1. The result is then used to evaluate F of G of 1, which involves further simplification to arrive at the final result. The tutorial emphasizes understanding the process of plugging values into functions and simplifying expressions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of evaluating G(1)?

sqrt(3)

2

sqrt(2)

1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed after finding G(1) to evaluate F(G(1))?

Multiplication

Subtraction

Addition

Division

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for F(G(1)) before simplification?

2 + sqrt(2)

2 * sqrt(2)^2 + 1

sqrt(2) + 1

2 * sqrt(2) + 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified result of F(G(1))?

4

3

6

5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is simplification important in mathematical expressions?

To reduce the number of steps

To increase complexity

To avoid errors

To make calculations easier