Let f be an injective function with domain `{x, y, z}` and range `{1, 2, 3}` such that exactly one of the following statements is correct and the remaining are false. `f(x)=1, f(y) ne1, f(z) ne 2`. The value of `f^(-1)(1)` is

Consider that f : A rarr B (i) If f(x) is one-one f(x_(1)) = f(x_(2)) hArr x_(1) = x_(2) or f'(x) ge 0 or f'(x) le 0 . (ii) If f(x) is onto the range of f(x) = B. (iii) If f(x) and g(x) are inverse of each other then f(g(x)) = g(f(x)) = x. Now consider the answer of the following questions. Let f be one-oe function with domain {x, y, z} and range {1, 2, 3}. It is given that exactly one of the following statement is true and the remaining two are false. f(x) = 1, f(y) != 1, f(z) != 2 , then the value of f^(-1)(1) is

Let f be an injective map.with domain (x,y,z and range (1,2,3), such that exactly one following statements is correct and the remaining are false: f(x)=1,f(y)!=1,f(z)!=2 The value of f^(-1))(1) is

Let f be a one-one function with domain {x,y,z} and range {1,2,3}. It is given that exactly one of the following statements is true and the remaining two are false f(X)=1,f(y)!=1f(z)!=2 determine f^(-1)(1)

Let f be a one-one function with domain (21,22,23) and range {x,y,z). It is given that exactly one of the following statements is true and the remaining two are false.f(21)=x;f(22);f(23)!=y. Then f^(-1)(x) is

Let f:{x,y,z}rarr{1,2,3} be a one-one mapping such that only one of the following three statements is true and remaining two are false: f(x)!=2,f(y)=3,f(z)!=1 ,then-

Let f(x)=log_(e)|x-1|, x ne 1 , then the value of f'((1)/(2)) is

Let f be a real valued function, satisfying f (x+y) =f (x) f (y) for all a,y in R Such that, f (1_ =a. Then , f (x) =

Let f(x) be continuous and differentiable function everywhere satisfying f(x+y)=f(x)+2y^(2)+kxy and f(1)=2, f(2)=8 then the value of f(3) equals