Find the Domain square root of 59x^9

Problem

√(,59*x9)

Solution

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

59*x9≥0

2. Divide both sides of the inequality by the positive constant 59

x9≥0

3. Apply the property of odd powers. Since 9 is an odd exponent, x9 has the same sign as x Therefore, x9≥0 implies that x must be greater than or equal to zero.

x≥0

4. Express the domain in interval notation. The values of x start at 0 (inclusive) and go to infinity.

[0,∞)

Final Answer

Domain:[0,∞)

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