Use function notation, evaluate functions on their domains, and interpret notation in context.
Evaluate a function at an algebraic input
Problem
Substitute the algebraic input \(x+h\) into \(f(x)=3x+2\) and simplify.
Big Picture
What this problem is really about
An algebraic expression can be a single function input, so keep the entire replacement grouped at first. We’ll insert that grouped expression wherever the original input variable appears, preserve the rule’s outside operations, and only then simplify. Distributing across every term inside the parentheses is the key structural check.
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