If \( f(x)=1+\alpha x,(\alpha \neq 0) \) is the inverse of itself t...

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If \( f(x)=1+\alpha x,(\alpha \neq 0) \) is the inverse of itself then the value of \( \alpha \) is:
(A) \( -2 \)
(B) \( -1 \)
\( \mathrm{P} \)
(C) 0
(D) 2
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