Question

If the function f : [1,∞)  →[1 ,∞) is defined by f(x) = 2^{x(x - 1)} then f-−1 (x) is

(a)  (1/2)^{x(x - 1)}

(B)   1/2(1 + √1 + 4log₂ f(x))

(c)  1/2(1- √1 + 4log₂f(x))

(D) Not defined

Answer 1

Correct option (B)  1/2(1 + √1 + 4log₂ f(x))

Explanation :

It is given that