If $f$ is an even function defined on the interval $(-5, 5)$, then four real values of $x$ satisfying the equation $f(x) = f\left( {\frac{{x + 1}}{{x + 2}}} \right)$ are
If $f$ is an even function defined on the interval $(-5, 5)$, then four real values of $x$ satisfying the equation $f(x) = f\left( {\frac{{x + 1}}{{x + 2}}} \right)$ are
- A
$\frac{{ - 3 - \sqrt 5 }}{2},\frac{{ - 3 + \sqrt 5 }}{2},\frac{{3 - \sqrt 5 }}{2},\frac{{3 + \sqrt 5 }}{2}$
- B
$\frac{{ - 5 + \sqrt 3 }}{2},\frac{{ - 3 + \sqrt 5 }}{2},\frac{{3 + \sqrt 5 }}{2},\frac{{3 - \sqrt 5 }}{2}$
- C
$\frac{{3 - \sqrt 5 }}{2},\frac{{3 + \sqrt 5 }}{2},\frac{{ - 3 - \sqrt 5 }}{2},\frac{{5 + \sqrt 3 }}{2}$
- D
$ - 3 - \sqrt 5 , - 3 + \sqrt 5 ,3 - \sqrt 5 ,3 + \sqrt 5$
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