What is the inverse function of the strictly increasing function $f (x) = ln (x - 1) + 2$ for $x > 1$ ?

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What are the exact roots of the polynomial equation $x^{3} - 4 x^{2} + x + 6 = 0$ in the real domain?
What is the remainder when the polynomial $P (x) = 2 x^{4} - 3 x^{2} + 5 x - 7$ is divided by $(x - 2)$ ?
Which expression represents the horizontal asymptote of the rational function $f (x) = \frac{6 x ^{2} - 5 x + 1}{2 x ^{2} + 7 x - 4}$ as…
What is the exact solution set of the inequality $∣2 x - 5∣ < 7$ for all real numbers $x$ ?
Evaluate the exact numerical value of the expression $lo g_{3} (54) - lo g_{3} (2)$ .
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