Let g(x) = f(x*2) , where f is twice differentiable for all x ,
f'(x) > 0 for all x ≠ 0 , and f is concave downward on
(-∞ , 0 ) and concave upward on ( 0 , ∞ ) .
(1) At what numbers does g have an extreme value ?
(2) Discuss the concavity of g .
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