What is the domain of #f(x)=(x+6)/(x^2+5) #?
The domain of the function is
The domain of a function is the set of numbers for which that function is defined.
For simple rational functions, the only points where the function is undefined are when the denominator equals
Thus, the domain is the set of all real numbers except the solutions to
However, if you try to solve that quadratic equation, you'll notice that that equation has no real solutions.
no real solution
That simply means that there is no point whatsover where the function is undefined.
Therefore the domain of the function is