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Find the Domain square root of 7x=35

Problem

√(,7*x−35)

Solution

  1. Identify the condition for the domain of a square root function. The expression inside the radical (the radicand) must be greater than or equal to zero to produce real numbers.

  2. Set up the inequality based on the radicand.

7*x−35≥0

  1. Isolate the variable term by adding 35 to both sides of the inequality.

7*x≥35

  1. Solve for x by dividing both sides by 7.

x≥5

  1. Express the domain in interval notation. Since x can be any value from 5 to infinity, including 5, we use a square bracket.

[5,∞)

Final Answer

Domain:[5,∞)


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