Let f = {(1, 6), (2, 5), (4, 3), (5, 2), (8, –1), (10, –3)} and g

1.	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 \((\frac{f}{g})\)
Answer» 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}.

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 \((\frac{f}{g})\)

Answer»

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}.