Answer:
After performing the requested operation you will get [tex](f+g)(x)=3x^2+4x+7[/tex].
Step-by-step explanation:
It is very important to take into account that the expression [tex](f+g)(x)[/tex] is another way of writing the sum of two functions. It means that the expression [tex](f+g)(x)[/tex] equals the expression [tex]f(x)+g(x)[/tex].
[tex](f+g)(x)=f(x)+g(x)[/tex]
Now, it's time to replace the expressions of [tex]f(x)[/tex] and [tex]g(x)[/tex] into the previous equation.
[tex](f+g)(x)=f(x)+g(x)[/tex]
[tex](f+g)(x)=(4x+7)+(3x^2)[/tex]
[tex](f+g)(x)=3x^2+4x+7[/tex]
Finally, after performing the requested operation you will get [tex](f+g)(x)=3x^2+4x+7[/tex].
