APFIVE Function Equal to Its Inverse
Let
$$f(x)=\frac{x+2}{3x-4}.$$
Find all real numbers x for which the function equals its own inverse, that is, solve
$$f^{-1}(x) = f(x).$$
A
$$x = 2$$
B
$$x = \frac{1}{3}$$
C
$$x = 2 \text{ and } x = -\frac{1}{3}$$
D
$$x = -\frac{1}{3}$$
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