Find the Domain square root of 7-2x+5=8

Problem

√(,7−2*x)+5=8

Solution

1. Isolate the radical term by subtracting 5 from both sides of the equation.

√(,7−2*x)=3

2. Identify the condition for the domain of a square root function, which requires the radicand (the expression inside the square root) to be non-negative.

7−2*x≥0

3. Solve the inequality for x by first subtracting 7 from both sides.

−2*x≥−7

4. Divide by -2 and reverse the inequality sign to find the range of values for x

x≤7/2

5. Express the domain in interval notation.

(−∞,3.5]

Final Answer

Domain:(−∞,3.5]

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