Maths- Relations and Functions

Given a function lf as f(x) = 5x + 4, x ∈ R. If g : R → R is inverse of function 'f then

A relation S in the set of real numbers is defined as xSy ⇒  x – y+ √3 is an irrational number, then relation S is

Set A has 3 elements and the set B has 4 elements. Then the number of injective functions that can be defined from set A to set B is

Given set A = {a, b, c). An identity relation in set A is

Given triangles with sides T1 : 3, 4, 5; T2 : 5, 12, 13; T3 : 6, 8, 10; T4 : 4, 7, 9 and a relation R in set of triangles defined as R = {(Δ1, Δ2) : Δ1 is similar to Δ2}. Which triangles belong to the same equivalence class?

Given set A ={1, 2, 3} and a relation R = {(1, 2), (2, 1)}, the relation R will be

Let R be a relation on the set L of lines defined by l1 R l2 if l1 is perpendicular to l2, then relation R is