How to evaluate the multiplication of two functions

How to evaluate the multiplication of two functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the product of two functions, F(x) = x^2 + 1 and G(x) = x - 4, by multiplying them and then evaluating the result at x = 6. The process involves multiplying the functions as binomials and then substituting x = 6 into the resulting expression to find the final solution. The tutorial emphasizes understanding the multiplication of functions and the evaluation process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step in evaluating the indicated function for F(x) = x^2 + 1 and G(x) = x - 4?

Add the two functions together

Subtract G(x) from F(x)

Divide F(x) by G(x)

Multiply the two functions together

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying the functions F(x) = x^2 + 1 and G(x) = x - 4, what is the result of the first multiplication step?

x^2

x^3

x

x^4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after obtaining the expression from multiplying F(x) and G(x)?

Divide the expression by x

Add a constant to the expression

Evaluate the expression for x = 6

Evaluate the expression for x = 0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the evaluation of F * G at x = 6, what is the value of 6 cubed?

216

36

1296

64

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result after evaluating the multiplied function at x = 6?

148

222

148

74