If `f:[1, oo) to [1, oo)` is given by `f(x)=2^(x(x-1))`, then find `f^(-1)(x)`

If the function, f:[1,oo]to [1,oo] is defined by f(x)=3^(x(x-1)) , then f^(-1)(x) is

If f : [1, oo) rarr [2, oo) is given by f(x) = x + (1)/(x) then f^(-1) (x) equals:

If the function f:[1,oo)to[1,oo) is defined by f(x)=2^(x(x-1)) then f^(-1) is

If f:[1,oo)rarr[1,oo) is defined as f(x)=3^(x(x-2)) then f^(-1)(x) is equal to

If F:[1,oo)vec 2,oo is given by f(x)=x+(1)/(x), then f^(-1)(x) equals.(x+sqrt(x^(2)-4))/(2)(b)(x)/(1+x^(2))(c)(x-sqrt(x^(2)-4))/(2)(d)1+sqrt(x^(2)-4)

Let f:[4,oo)to[4,oo) be defined by f(x)=5^(x^((x-4))) .Then f^(-1)(x) is