What is the domain of F in the problem
       ____
F(x)= Ö2x+3  ?

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The domain of F is the set of all real numbers that can
be substituted in the right side if F(x) and a real 
number will result.  In algebraic equations the only 
forbidden operations are

1. denominators may not equal 0

2. square roots (or 4th, 6th 8th roots, or any roots of 
   even index) may not be taken of negative numbers.

Since 2x+3 is under a square root, it may not be 
negative, which means it is either positive or 0.  
"Positive" means "greater than zero", so it's
"greater than or equal to zero".

2x + 3 > 0

    2x > -3

     x > -3/2

So the domain of F is [-3/2, ¥)

Edwin