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Let f, g and h be real-valued functions ...

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)=xe^(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 :

A

`a = b and c ne b`

B

`a=c and a ne b`

C

`a ne b and c ne b`

D

`a=b=c`.

Text Solution

Verified by Experts

The correct Answer is:
D
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