Select the correct option (1) `:[1,oo)->[1,oo),f(x)=2^(x(x-1)) =>f^-1 (x)=1/2(+sqrt(1+4log_2x))`

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

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

If the function f:[1,oo)->[1,oo) is defined by f(x)=2^(x(x-1)), then f^-1(x) is (A) (1/2)^(x(x-1)) (B) 1/2(1+ sqrt(1+4log_2x) ) (C) 1/2(1-sqrt(1+4log_2x)) (D) not defined

If the function f:[1,oo)->[1,oo) is defined by f(x)=2^(x(x-1)), then f^-1(x) is (A) (1/2)^(x(x-1)) (B) 1/2 sqrt(1+4log_2x) (C) 1/2(1-sqrt(1+4log_2x)) (D) not defined

If the function f:[1,oo)->[1,oo) is defined by f(x)=2^(x(x-1)), then f^-1(x) is (A) (1/2)^(x(x-1)) (B) 1/2 sqrt(1+4log_2x) (C) 1/2(1+sqrt(1+4log_2x)) (D) not defined

If the function f:[1,oo)->[1,oo) is defined by f(x)=2^(x(x-1)), then f^-1(x) is (A) (1/2)^(x(x-1)) (B) 1/2 sqrt(1+4log_2x) (C) 1/2(1-sqrt(1+4log_2x)) (D) not defined

If the function f:[1,oo)rarr[1,oo) is defined by f(x)=2^(x(x-1)),t h e nf^(-1)(x) is (1/2)^(x(x-1)) (b) 1/2(1+sqrt(1+4(log)_2x)) 1/2(1-sqrt(1+(log)_2x) (d) not defined

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