Question 210799
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Find the domain of function *[tex \Large f(x) = sqrt{ 2x - 3}]


The domain of a function is a set of values for the independent variable for which the function is defined.  Presuming that you are looking for the domain of this function over the reals, you know that any value under a radical that is less than zero is undefined.  Hence, *[tex \Large 2x - 3] must be greater than or equal to 0.


Just solve:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x - 3 \geq 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x \geq 3]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x \geq \frac{3}{2}]


Hence the domain is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \{x\ |\ x\ \in\ \R,\ x \geq \frac{3}{2}\}] 



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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