If the question is Something like in that way....
Let x be the eccentricity of hyperbola and f(x) be the eccentricity of its Conjugate Hyperbola
then f(f(f(f(x)))) =
Ans = x
Let f(x) be a function such that on putting any value of x we get the equation of a hyperbola which is conjugate of the hyperbola having x as eccentricity.
then find, f(f(f(f(x)))
If the question is Something like in that way....
Let x be the eccentricity of hyperbola and f(x) be the eccentricity of its Conjugate Hyperbola
then f(f(f(f(x)))) =
Ans = x
yeah , because conjugate of the conjugate hyperbola is the hyperbola itself.