Question 1202658
.
Find the domain of the function. (Enter your answer using interval notation.
h(x)=10/(x^2−4x)
Any help on this would be greatly appreciated.
~~~~~~~~~~~~~~~~~


<pre>
Look at the denominator.  It is  (x^2-4x) = x*(x-4).


From this decomposition, you see that the roots of the denominator are x= 0  and  x= 4.


The function is defined everywhere on the number line, except the points x= 0 and x= 4,
where the denominator is zero.


<U>ANSWER</U>.  The domain of the given function is the entire number line except the points x= 0 and x= 4,
         where the denominator is zero.

         In interval  notation, the domain is the union of three intervals (-oo,0) U (0,4) U (4,oo).

         -oo  means "minus infinity";  oo  means "infinity".
</pre>

Solved, with complete explanations.