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If f(x)=x^2+x+3/4 and g(x)=x^2+a x+1 be ...

If `f(x)=x^2+x+3/4` and `g(x)=x^2+a x+1` be two real functions, then the range of `a` for which `g(f(x))=0` has no real solution is (A) `(-oo,-2)` (B) `(-2,2)` (C) `(-2,oo)` (D) `(2,oo)`

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