Let \( g(x) \) be a polynomial of degree one and \( f(x) \) be defi...
Let \( g(x) \) be a polynomial of degree one and \( f(x) \) be defined
by \( f(x)=\left\{\begin{array}{cc}g(x), & x \leq 0 \\ |x|^{\sin x}, & x0\end{array}\right. \)
\( \mathrm{P} \)
If \( f(x) \) is continuous satisfying \( f^{\prime}(1)=f(-1) \), then \( g(x) \) is
(1) \( (1+\sin 1) x+1 \)
(2) \( (1-\sin 1) x+1 \)
(3) \( (1-\sin 1) x-1 \)
(4) \( (1+\sin 1) x-1 \)
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