Determine the domain of the following functions, write answer using interval notation.
T(x)=log12(x^2+14x)
since logs are only defined on positive numbers, we need
x^2+14x > 0
x(x+14) > 0
You know that this parabola crosses the x-axis at -14 and 0, and since it opens up, it is positive everywhere except between the roots. So, the domain is
(-â,-14)U(0,â)