If \( f(x), g(x) \) is twice differential functions on \( [0,2] \) ...
If \( f(x), g(x) \) is twice differential functions on \( [0,2] \) satisfying \( f^{\prime \prime}(x)=g^{\prime \prime}(x), f^{\prime}(1)=2 g^{\prime}(1)=4 \) and \( f(2)=3 g(2)=9 \), then
\( \mathrm{P} \)
(1) \( f(4)-g(4)=10 \)
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(2) \( |f(x)-g(x)|2 \Rightarrow-2x0 \)
(3) \( f(2)=g(2) \Rightarrow x=-1 \)
(4) \( f(x)-g(x)=2 x \) has real root
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