If \( f \) is an even function defined on the interval \( (-5,5) \)...

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If \( f \) is an even function defined on the interval \( (-5,5) \) then a value of \( x \) satisfying the equation
\( \mathrm{P} \) \( f(x)=f\left(\frac{x+1}{x+2}\right) \) is

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(a) \( \frac{-1+\sqrt{5}}{2} \)
(b) \( \frac{-2+\sqrt{5}}{2} \)
(c) \( \frac{-1-\sqrt{5}}{2} \)
(d) \( \frac{-3-\sqrt{5}}{2} \)
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