Home › Bihar Board Class 12 (Commerce) › Mathematics › Relations and Functions › If g is the inverse of f: X to Y, then gof and f…
If g is the inverse of f: X to Y, then gof and fog are
ABoth equal to the map f
BI_X and I_Y respectively
CBoth equal to the map g
DI_Y and I_X respectively
Answer & Solution
Correct answer: B. I_X and I_Y respectively
gof maps X to X and gives the identity on X, while fog maps Y to Y and gives the identity on Y.
Related questions
Which two relations on a set A are called the extreme relations?If f(4) = 5 and g(5) = 11, what is gof(4)?A function that is not one-one is described by which term?How are functions related to the general idea of a relation?A relation R is transitive when (a1, a2) and (a2, a3) in R imply what?The empty relation and the universal relation are together known as what?The inverse g of an invertible f : X → Y satisfies which pair of equations?For f : N → Y with f(x) = 4x + 3 onto Y, which formula gives the inverse g(y)?