Combine studied function types arithmetically to build models.
Form and evaluate an arithmetic combination of two functions
Problem
Evaluate this combined function expression: \((f+g)(2)\) where \(f(x)=x^2\) and \(g(x)=3x+1\)
Big Picture
What this problem is really about
A function name acts like an input-output machine, so feed the same requested input into each rule separately. Keep the two substitutions distinct until both outputs are known, then add those outputs. This avoids the common shortcut of adding formulas first and losing track of where the input belongs.
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