If f(x)=x2+x+34  and g(x)=x2+ax+1  be two real functions, then the range of a for which g(f(x))=0  has no real solution is ______

f(x)=x2+x+34=(x+12)2+12≥12 g(f(x))=(f(x))2+af(x)+1 ,   for g(f(x))=0   a=−(f(x)+1f(x))≤−2 ∴  If a>−2 , g(f(x))=0  has no solutions