let f(x)= 2x+8 and g(x)= x+4
(f+g)(x)
Except for the very first one you posted, these are all pretty much the same.
The very first one had f ( g(x) )
You had to take a function of a function.
The rest of these seem to be simple additions, subtractions, multiplications, or divisions.
Here just add f(x) to g(x) to get (f+g)(x)
oo duh. lol thank you!
Perhaps this might help
Say f(x) = x^2 and g(x)=x^3
then
f(x)g(x) = x^(2+3) = x^5
BUT
f(g(x)) = (x^3)^2 = x^6
To find (f+g)(x), we need to add the functions f(x) and g(x) together.
Given:
f(x) = 2x + 8
g(x) = x + 4
To add the functions, we simply add the corresponding terms:
(f+g)(x) = f(x) + g(x)
= (2x + 8) + (x + 4)
Now, we can simplify the expression by combining like terms:
= 2x + x + 8 + 4
= 3x + 12
So, (f+g)(x) = 3x + 12.
Therefore, the sum of the functions f(x) and g(x) is 3x + 12.