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Let f''(x) gt 0 AA x in R and g(x) = g(x...

Let `f''(x) gt 0 AA x in R` and `g(x) = g(x) = 2f((x^(2))/(2)) + f(6-x^(2))`. Then show that g(x) possesses one maximum and two minima.

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The correct Answer is:
minimum for `x = pm 2` and maximum for `x = 0`
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