Find the Domain square root of 400x^2

Problem

√(,400*x2)

Solution

1. Identify the condition for the domain of a square root function. The expression inside the square root, known as the radicand, must be greater than or equal to zero.

400*x2≥0

2. Analyze the radicand expression. The constant 400 is a positive number, and any real number x squared, x2 is always greater than or equal to zero.

x2≥0

3. Determine the values of x that satisfy the inequality. Since the product of two non-negative numbers is always non-negative, the inequality 400*x2≥0 is true for all real numbers.

x∈(−∞,∞)

Final Answer

Domain of √(,400*x2)=(−∞,∞)

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