The numerator is positive for #x >4# whereas the denominator is positive for #x > -3#. It comes that for #x< -3# both of them are negative so that the whole fraction is positive. The same happens for #x>4#. On the other hand for # -3 < x< 4# the fraction is negative. Consequently the fraction is poisitive
for #x< -3# and for #x>4#