Combine standard functions using arithmetic operations to build models.
Form, evaluate, and interpret combined functions such as (f+g)(x), (f-g)(x), and (fg)(x) from given function rules
Problem
Using \(f(x)=2x+1\), \(g(x)=x^2\), evaluate \((f+g)(3)\).
Big Picture
What this problem is really about
Combined-function notation applies the named outside operation to separate outputs at the same input. We’ll expand the notation first, substitute the input independently into both rules, complete each function’s internal arithmetic, and only then combine the two results. Writing the calculation once as a single expression provides a compact check on operation order.
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