Question

Given: F(x) = 3x^2+ 1, G(x) = 2x - 3, H(x) = xF(x) + G(x) =

Answer 1

`f(x)+g(x)=3x^2+2x-2`

Step-by-step explanation

to add two functions just add like terms,Like terms" are terms whose variables and their exponents, are the same

so

Step 1

let

`\begin{gathered} f(x)=3x^2+1 \\ g(x)=2x-3 \end{gathered}`

hence

`f(x)+g(x)=3x^2+1+2x-3`

we can see the only pair of like terms ar +1 and (-3), so

`\begin{gathered} f(x)+g(x)=3x^2+1+2x-3 \\ \text{add like terms} \\ f(x)+g(x)=3x^2+2x-2 \end{gathered}`

I hope this helps you