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

Let f,\ g\ a n d\ 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\ a n d\ h(x)=x^2e^x^2+e^-x^2 . If a , b ,\ a n d\ c denote respectively, the absolute maximum of f,\ g\ a n d\ h on [0,\ 1], then a=b\ a n d\ c!=b (b) a=c\ a n d\ a!=b a!=b\ a n d\ c!=b (d) a=b=c

Let f, g, 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, c respectively denote the absolute maximum of f, g and h on [0, 1] then show that a =b=c.

Let f.g.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,c denote respectively the absolute max. values of f.g.h on [0,1] then

If f(x)=e^(x+a) , g(x)=x^(b^2) and h(x)=e^(b^2x) ,show that (g[f(x)])/(h(x))=e^(ab^2)

If f(x) = e^(x + a) , g(x) = x^(b^2) and h(x) = e^(b^2 x) , then find the value of (g{f(x)})/(h(x))

Let f be a real valued function defined by f(x)=(e^(x)-e^(-|x|))/(e^(x)+e^(|x|)), then the range of f(x) is: (a)R(b)[0,1](c)[0,1)(d)[0,(1)/(2))