Essay

Recalling the Procedure for Evaluating Linear Functions

Imagine you are training a new operations assistant at your company. The assistant is using the work hours estimation function h(x)=2x+1h(x) = 2x + 1, where xx represents the number of daily inventory shipments. The assistant needs to evaluate this function for a modified schedule of x+1x+1 shipments, representing one additional shipment.

Describe the complete step-by-step mathematical procedure to evaluate h(x+1)h(x+1) based on the original function h(x)=2x+1h(x) = 2x + 1. In your explanation, recall and specify:

  1. The exact algebraic substitution that must be performed (including the use of grouping symbols).
  2. The algebraic property used to distribute the coefficient.
  3. The final simplified expression.

Be clear and detailed so the assistant can follow your instructions.

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Updated 2026-06-04

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