How to Find the Sum of Functions | Algebra, Adding Functions, Sums of Functions

How do we find the sum of functions? What does the notation (f + g)(x) mean? We go over that and more in today's math lesson!

At the end of the video lesson, I present a practice exercise, which we go over now.

Let f(x) = 4x^2 - 3x + 7 and g(x) = -2x^2 + 3x + 2. Find (f + g)(x). To find (f + g)(x), all we have to do is add f(x) and g(x) together. Thus, (f + g)(x) = f(x) + g(x) = (4x^2 - 3x + 7) + (-2x^2 + 3x + 2). Then, simplifying this expression gives us 2x^2 + 9. Hence, (f + g)(x) = 2x^2 + 9. That is how we add functions!


I hope you find this video helpful, and be sure to ask any questions down in the comments!

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