find domain n range y=1/(x-2)??

Question

anonymous · Answer

Domain = numbers you can put in for x.  In this case, if the denominator is 0, the equation will be undefined.

So

$$x-2\neq0$$

$$x\neq2$$

Range is your Y values.  In this case, we can have any number except 0, because 1 over nothing will ever = 0.

So range:

$$y\neq0$$

anonymous · Answer

ok got it.thanx..what about..x=(y-1)^2-2??

anonymous · Answer

You need to solve for y, and then do the same analysis.  If you solve for y correctly, x will be under a square root sign.  Since you can't have anything negative as a square root, this will restrict your domain.

Your range will be all positive real numbers, since a square root will never output a negative real number.