Book: RS Aggarwal - Mathematics
Chapter: 3. Functions
Subject: Maths - Class 11th
Q. No. 13 of Exercise 3F
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13
Let f = {(1, 6), (2, 5), (4, 3), (5, 2), (8, –1), (10, –3)} and g = {(2, 0), (3, 2), (5, 6), (7, 10), (8, 12), (10, 16)}.
Find (i) dom (f + g) (ii) dom 
.
Given, f = {(1, 6), (2, 5), (4, 3), (5, 2), (8, –1), (10, –3)}
g = {(2, 0), (3, 2), (5, 6), (7, 10), (8, 12), (10, 16)}
(1) Domain of f ={1,2,4,5,8,10}
Domain of g ={2,3,5,7,8,10}
Domain of (f+g)= {x : x ∈D f ∩ Dg }
where Df = Domain of function f, Dg = Domain of function g
Domain of (f+g)={2,5,8,10}.
(2) Domain of quotient function f/ g = {x : x ∈D f ∩ Dg and g (x) ≠ 0}
Domain of (f/g) = {2,5,8,10}.
