Let f,g and hbe real valued functions defined on the interval [0,1] – InterviewSolution

1.	Let f,g and hbe real valued functions defined on the interval [0,1] byf(x)=ex2+e−x2, g(x)=xex2+e−x2 and h(x)=x2ex2+e−x2. If a, b and c denote, respectively, the absolute maximum of f, g and h on [0,1], then
Answer» Let $f, g$ and $h$ be real valued functions defined on the interval [0,1] by $f (x) = e^{x^{2}} + e^{- x^{2}}, g (x) = x e^{x^{2}} + e^{- x^{2}}$ and $h (x) = x^{2} e^{x^{2}} + e^{- x^{2}}$ . If a, b and c denote, respectively, the absolute maximum of f, g and h on [0,1], then

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