Question

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

Answer 1

Given:

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

Required:

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

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:

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