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Select the expression that represents the simplified product.

Given:
F(x)=x+2 and G(x)=3x+5
Find (F⋅G)(x)

3x2+11x+10

14x2+10

3x2+10x+10

Select the expression that represents the simplified product. Given: F(x)=x+2 and-example-1
User Michael Granger
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2 Answers

14 votes
14 votes
Here you go! Hope this helps
Select the expression that represents the simplified product. Given: F(x)=x+2 and-example-1
User RobotCharlie
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22 votes
22 votes

Answer:


(FxG)(x)=3x^2+11x+10.

Explanation:

This is a simple multiplication of functions. In order to get a result, we must find the product generated by the multiplication of the arguments of both functions.

1. Write the arguments.


F(x)= x+2\\ \\G(x)=3x+5

2. Multiply the arguments.


(x+2)(3x+5)

Using the associative property of multiplication, rewrite the expression.

This is the rule we are applying:
(a+b)(c+d)=(a)(c)+(a)(d)+(b)(c)+(b)(d)

Rewriting:


(x)(3x)+(x)(5)+(2)(3x)+(2)(5)\\ \\(3x^2)+(5x)+(6x)+(10)\\\\3x^2+11x+10

3. Express your result.


(FxG)(x)=3x^2+11x+10.

User Imrul
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