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Find the Domain square root of 4x+40-12=0

Problem

√(,4*x+40)−12=0

Solution

  1. Identify the expression inside the square root, which is 4*x+40

  2. Apply the rule for the domain of a square root function, which requires the radicand (the expression inside the root) to be greater than or equal to zero.

4*x+40≥0

  1. Subtract 40 from both sides of the inequality to isolate the term with x

4*x≥−40

  1. Divide both sides by 4 to solve for x

x≥−10

  1. Express the domain in interval notation based on the inequality.

[−10,∞)

Final Answer

Domain:[−10,∞)


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