Find the Domain 2x^2+ square root of 7x+2=0

Problem

2*x2+√(,7*x+2)=0

Solution

1. Identify the restriction for the 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:

7*x+2≥0

3. Isolate the term containing x by subtracting 2 from both sides:

7*x≥−2

4. Solve for x by dividing both sides by 7

x≥−2/7

5. Express the domain in interval notation. Since x can be any value greater than or equal to −2/7 the interval starts at −2/7 (inclusive) and goes to infinity.

Final Answer

Domain:[−2/7,∞)

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