Hi Ellen,
In order to answer this question, we need to know operations of functions, specifically: (f + g)(x) = f (x) + g(x).
Given: Find:
f(x)= 2x+1 (f + g)(x)
g(x)= 3x^2
Since we already know what f(x) and g(x) are, we simply need to add them together to find (f + g)(x):
f (x) + g(x) = 2x+1 + 3x^2
Rearranging to put into standard form, we get:
f (x) + g(x) = 3x^2 + 2x+1
(f + g)(x) = 3x^2 + 2x+1
Hope that helps!