What is the domain of F in the problem
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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
