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).`

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`