Question 1060100
.
Find the natural domain of y=1/sqr(-(2-x))

Thanks!
~~~~~~~~~~~~~~


<pre>
The natural domain is the set of solutions of this inequality

-(2-x) >= 0,   (1)

making an expression under the square root positive (non-negative, to be precise).

The inequality (1) is equivalent to 

2-x <= 0     ( ! notice I changed signs in both sides, and changed the inequality sign to the opposite ! )

2 <= x,   or, which is the same, 

x > = 2.

<U>Answer</U>.  The natural domain is the set {x | x >= 2}.
</pre>

For example, x= 3 <U>is</U> in the domain, while x = 1 <U>is not</U>.