Find the Domain f(x) = square root of 5x+7

Problem

ƒ(x)=√(,5*x+7)

Solution

1. Identify the restriction for a square root function, which requires the radicand (the expression inside the square root) to be greater than or equal to zero.

2. Set up the inequality based on the radicand.

5*x+7≥0

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

5*x≥−7

4. Solve for x by dividing both sides by 5

x≥−7/5

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

[−7/5,∞)

Final Answer

Domain: *[−7/5,∞)

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