1. Let A = {a, b, c, d}, B = {p, q, r} and f, g are relations defined from A to B and B to A
respectively as f(a) = q, f(b) = q, f(c) = p, f(d) = r, g(p) = d, g(q) = c, g(r) = b, g(p) = a. Then
Wf is a function and g is not a function 2) fis not a function and g is a function
3) f, g are functions
4) f and g are not functions
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f and g are not function because
a relation A is a function if it's all element have one one only one image in B
hence f and g are not
cause f(a),f(b) both have same image q in relation A to B
and similar
In relation B to A element g(p) have two distinct image hence it is also not a function
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