Find the Domain 24.2-x

Problem

√(,4.2−x)

Solution

1. Identify the restriction for a 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.

2. Set up the inequality based on the radicand.

4.2−x≥0

3. Isolate the variable x by subtracting 4.2 from both sides of the inequality.

−x≥−4.2

4. Solve for x by multiplying or dividing both sides by −1 Remember to flip the inequality sign when multiplying or dividing by a negative number.

x≤4.2

5. Express the domain in interval notation. Since x can be any value less than or equal to 4.2 the interval starts at negative infinity and ends at 4.2 inclusive.

Final Answer

Domain: *(−∞,4.2]

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