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34 votes
Let f(x)=2x+1 and g(x)=3x^2. determine simplified formula for fg(x)

User Nazma
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1 Answer

13 votes
13 votes

Given:


f(x)=2x+1,\text{ and }g(x)=3x^2

Required:


We\text{ need to find }fg(x).

Step-by-step explanation:

We know that,


fg(x)=f(x)\cdot g(x)


Substitute\text{ }f(x)=2x+1,\text{ and }g(x)=3x^2\text{ in the equation.}


fg(x)=(2x+1)\cdot3x^2
fg(x)=2x(3x^2)+1(3x^2)
fg(x)=6x^3+3x^2

Final answer:


fg(x)=6x^3+3x^2

User Gnarlywhale
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