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$If f (x) = x^{2} + x + \frac{3}{4} and g (x) = x^{2} + a x + 1 be two real$ $functions, then the range of a for which g (f (x)) = 0 has no$ $real solution is$

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detailed solution

Correct option is C

f(x)=x2+x+34=x+122+12≥12g(f(x))=f(x)2+af(x)+1 for g(f(x))=0a=−f(x)+1f(x)≤−2

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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

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$If f (x) = x^{2} + x + \frac{3}{4} and g (x) = x^{2} + a x + 1 be two real$ $functions, then the range of a for which g (f (x)) = 0 has no$ $real solution is$