[tex]f(x)+g(x)=3x^2+2x-2[/tex]
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
[tex]\begin{gathered} f(x)=3x^2+1 \\ g(x)=2x-3 \end{gathered}[/tex]
hence
[tex]f(x)+g(x)=3x^2+1+2x-3[/tex]
we can see the only pair of like terms ar +1 and (-3), so
[tex]\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}[/tex]
I hope this helps you
