Let `f:{x,y,z}->[a,b,c]` be a one-one fun.and only one of the conditions (i) `f(x) != b,` (ii) `f(y) =b,` (ii) `f (2) != a` is true thenthe function f is given by the set

Let f:{x,y,z}rarr[a,b,c] be a one-one fun and only one of the conditions (i) f(x)!=b, (ii) f(y)=b, (ii) f(2)!=a is true thenthe function fis given by the set

Let f : {x,y, z} to {a, b, c} be a one-one function. If it is known that only one of the following statements is true, (i) f(x)neb (ii) f(y)=b (iii) f(z)nea Determine f^(-1)(b) .

Let f : {1, 2, 3}->{a , b , c} be one-one and onto function given by f (1) = a , f (2) = b and f (3) = c . Show that there exists a function g : {a , b , c}->{1, 2, 3} such that gof=I_x and fog=I_y

Let f:{1 , 2,3 ,} rarr {a, b, c} be one-one, and onto function given by f(1)=a, f(2)=b and f(3)=c . Shów that there exists a function g:{a, b, c} rarr {1,2,3.} such that g o f=I_x and f o g=, I_ y where, X={1,2,3} and Y={a, b, c}

Let f" ":" "{1," "2," "3}->{a ," "b ," "c} be one-one and onto function given by f" "(1)" "=" "a , f" "(2)" "=" "b and f" "(3)" "=" "c . Show that there exists a function g" ":" "{a ," "b ," "c}->{1," "2," "3} such that gof=I_x and fog=

Let f (x) = | x - 2| where x is real number. Which one of the following is true ? a) f is periodic b) f (x + y ) = f (x) + f (y) c)f is not one-one function d)f is an even function

Let a,b,c be rational numbers and f:Z->Z be a function given by f(x)=a x^2+b x+c. Then, a+b is

Let f:X rarr Y be a function defined by f(x)= a sin (x+(pi)/(4))+ c.If f is both one-one and onto,then find the set X and Y

Let f: X rarr Y be a function defined by f(x) = a sin ( x + pi/4 ) + c. If f is both one-one and onto, then find the set X and Y