MathDB

y=(a-6x)/{2+x) summteric to y=1/x(V Soros Olympiad 1998-99 Round 3 10.1)

Source:

May 26, 2024

analytic geometrygeometrysymmetrySymmetric

Problem Statement

It is known that the graph of the function

y =\frac{a-6x}{2+x}

is centrally summetric to the graph of the function

y = \frac{1}{x}

with respect to some point. Find the value of the parameter

a

and the coordinates of the center of symmetry.