If `X={1,2,3,4},` then one-one onto mappings `f:X to X` such that `f(1)=1, f(2) ne 2 f(4) ne 4` are given by

Let X={1,2,3,4} , then one-one onto mappings f:XtoX such that f(1)=1,f(2)ne2andf(4)ne4 are given by :

If 2f(x) - 3f(1/x) = x^2 (x ne 0) , then find f(2).

A function is said to be bijective if it is both one-one and onto, Consider the mapping f : A rarr B be defined by f(x) = (x-1)/(x-2) such that f is a bijection. A function f(x) is said to be one-one iff :

If f (x) = 1/(2x+1), x ne -1/2 , then show that , f(f (x)) = (2x+1)/(2x+3), x ne -3/2 .

If x={1,-1} and mapping is defined as f:X rarr X,f(x)=x^(2), then prove that this mapping is not one-one onto.

If 2f(x) -3f(1/x)=x^(2), x ne 0 , then f(2)=