Find the Domain f(x)=1- square root of x

Problem

ƒ(x)=1−√(,x)

Solution

1. Identify the restriction for the square root function. For the expression √(,x) to be defined in the set of real numbers, the radicand must be non-negative.

2. Set up the inequality based on the radicand.

x≥0

3. Determine the interval that satisfies this condition. Since there are no other restrictions (such as a denominator that could be zero), the domain consists of all real numbers greater than or equal to 0

4. Express the domain in interval notation.

[0,∞)

Final Answer

Domain of *ƒ(x)=1−√(,x)* is *[0,∞)

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