Combine standard function types arithmetically to create models.
Form and interpret the sum of two functions, (f+g)(x)
Problem
Add functions \(f(x)=2x+5\) and \(g(x)=x^2-3\) to model a combined quantity.
Big Picture
What this problem is really about
A function sum adds two outputs evaluated at the same input. We’ll substitute both complete rules with their signs grouped, combine only like terms, and test a simple input in the original and simplified forms to confirm the combined model.
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