Find the Domain square root of 7-3x

Problem

√(,7−3*x)

Solution

1. Identify the condition for the square root function to be defined. The radicand (the expression inside the square root) must be greater than or equal to zero.

7−3*x≥0

2. Isolate the term containing x by subtracting 7 from both sides of the inequality.

−3*x≥−7

3. Solve for x by dividing both sides by −3 Remember that dividing by a negative number reverses the inequality sign.

x≤(−7)/(−3)

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

x≤7/3

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

(−∞,7/3]

Final Answer

Domain=(−∞,7/3]

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