Find the Domain 8+6 square root of 36x^2

Problem

8+6√(,36*x2)

Solution

1. Identify the restriction for the square root function. For the expression to be defined in the set of real numbers, the radicand (the expression inside the square root) must be greater than or equal to zero.

36*x2≥0

2. Analyze the inequality. Since 36 is a positive constant and x2 is always non-negative for any real number x the product 36*x2 is always greater than or equal to zero.

x2≥0

3. Determine the values of x that satisfy the condition. Because the square of any real number is never negative, the inequality holds true for all real numbers.

x∈(−∞,∞)

Final Answer

Domain of *8+6√(,36*x2)=(−∞,∞)

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