<p>we have 2 functions first is f(x)=x^2-4x+4 and g(x)=2sinx</p>
<p>h(x)=g(x)/f(x) find the domain of h(x)</p>
<p>my proposal is R EXCEPT for x=2 and x=0,180,360,...</p>
<p>it is all values except x=2</p>
<p>x=0,180,etc would make h(x) = 0 but that is ok.
We only look for values that would make the denominator = 0.</p>
<p>The domain is all real numbers except x= 2.</p>
<p>I second that.
Bassamtarek, in these type of questions only check the undefined case(s) for the function. In rationals exclude values that make denominator 0, in square roots exclude values that make the inside part negative, in trigonometric functions exclude values that make the function undefined etc.</p>
<p>thanks a lot for all replies</p>