Find the Domain x/( square root of x-4)

Problem

x/√(,x−4)

Solution

1. Identify the constraints for the expression to be defined. For a fraction, the denominator cannot be zero, and for a square root, the radicand must be non-negative.

2. Set up the inequality for the radicand. Since the square root is in the denominator, the expression inside must be strictly greater than zero.

x−4>0

3. Solve the inequality for x by adding 4 to both sides.

x>4

4. Express the domain in interval notation. The values of x must be greater than 4 excluding 4 itself.

(4,∞)

Final Answer

Domain: *(4,∞)

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