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Higher Study | Mathematics | Relations and Functions

Find the range of function sin(ex).
A function f : X→ Y is said to be Inverse function if,
Let, R = {(a, b): a,b ϵ Z and (a + b) is even}, then R is 
Let f: R→R be defined by f(x) = cos x and g: R→R be defined by g(x) = ex then f o g is –
Consider the set A containing n elements. The total number of injective functions from A onto itself is:
Let A = QXQ and let * be a binary operation on A defined by (a, b) * (c, d) = (ac, b + ad) for all (a, b), (c, d) belongs to A then find identity element in A.
For real numbers x and y, define xRy if and only if x - y + π is an irrational number. Then the relation R is
Let L denote the set of all straight lines in a plane. Let a relation R be defined by lRm if and only if l is parallel to m, ∀ l, m ∈ L. Then R is:
The relation 'has the same father as' over the set of children is:
Let N denote the set of all non-negative integers and Z denote the set of all integers. The function f : Z → N given by f(x) = |x| is:
If X = {a, b, c} and R is a relation on X such that R = {(a, a), (b, b), (c, c)}. Then R is a/an ?
If X = {a, b}. Then find the power set of X
If A and B are subsets of a set X, then {A ∩ (X - B)} ∪ B is equal to
The value of e is
A relation R is defined from real number to real number such that aRb ⇒ a - b is a non negative integer. Then relation R is
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