The value of (f+g)(x) is x^2 + 3x - 11
You can combine this by simply adding the like terms. Start by adding together all of the x^2 terms. Since only g(x) has one of those, we use that in its entirety.
x^2
Next we add together the x terms. f(x) has 7x and g(x) has -4x.
7x + -4x = 3x
Finally, we add together the constants. f(x) has -3 and g(x) has -8.
-3 + -8 = -11
With all of the like terms combined, we simply take the answers and put them together.
x^2 + 3x - 11
Adding both the functions f(x) and g(x) we got
[tex](f+g)(x)=x^2+3x-11\\[/tex]
Given :
The functions are
[tex]f(x) = 7x - 3\\g(x) = x^2 - 4x -8[/tex]
Now we need to find out (f+g)(x)
(f+g)(x) can be written as f(x)+g(x)
So, we add both the functions and combine like terms
[tex]f(x) = 7x - 3\\g(x) = x^2 - 4x -8\\(f+g)(x)=f(x)+g(x)\\(f+g)(x)=7x - 3+x^2 - 4x -8\\(f+g)(x)=x^2+3x-11\\[/tex]
After adding both the equations f(x) and g(x) we got
[tex](f+g)(x)=x^2+3x-11\\[/tex]
Learn more : brainly.com/question/13048322
