Find the Domain square root of 4x+7

Problem

√(,4*x+7)

Solution

1. Identify the restriction for a square root function. For the output to be a real number, the expression inside the radical (the radicand) must be greater than or equal to zero.

2. Set up an inequality where the radicand is non-negative.

4*x+7≥0

3. Isolate the variable term by subtracting 7 from both sides of the inequality.

4*x≥−7

4. Solve for x by dividing both sides by 4.

x≥−7/4

5. Express the domain in interval notation, starting from the minimum value and extending to infinity.

[−7/4,∞)

Final Answer

Domain: *[−7/4,∞)

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