MHB Domain of Square Root Function

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The domain of the function f(x) = (3x + 5)^(1/2) requires that the radicand, 3x + 5, is non-negative. To find the domain, solve the inequality 3x + 5 ≥ 0. This simplifies to x ≥ -5/3. Therefore, the domain of the function is all real numbers x such that x is greater than or equal to -5/3. The function is defined for x in the interval [-5/3, ∞).
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Find the domain of the function f(x)= (3x+5)1/2.

Not quite sure how to even start this...
 
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Hint: To get a real value for the function, the radicand (expression under the radical) cannot be negative. So solve:

$\displaystyle 0\le3x+5$
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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