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Let g(x)=14f(2x2−1)+12f(1−x2) for all x∈R, where f′′(x)>0 ∀ x∈R. If g(x) is necessarily strictly increasing in the interval (a,0)∪(b,∞), then the value of (a+b) is

Answer» Let g(x)=14f(2x21)+12f(1x2) for all xR, where f′′(x)>0 xR. If g(x) is necessarily strictly increasing in the interval (a,0)(b,), then the value of (a+b) is


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