Find the Domain square root of 21-7x

Problem

√(,21−7*x)

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.

21−7*x≥0

2. Subtract 21 from both sides of the inequality to begin isolating the variable term.

−7*x≥−21

3. Divide both sides by −7 Remember that dividing or multiplying an inequality by a negative number reverses the inequality sign.

x≤(−21)/(−7)

4. Simplify the fraction to find the final constraint on x

x≤3

Final Answer

Domain: *{[x∈ℝ,x≤3]}

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