Question

Let f : R - {α/6} → R be defined by  f(x) = 5x+3/6x -α. Then the value of α for which (fof)(x) = x, for all  x ∈ R - {α/6}, is :

(1) No such α exists

(2) 5

(3) 8

(4) 6

Answer 1

Answer is: (2) 5

From eqⁿ (i) & (ii)

Clearly (α = 5)