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Q.

Domain, Range of f(x)=|x|+|x+1|  are respectively

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a

R – {1}, [0 , ∞)

b

R – {–1}, (0 , ∞)

c

R,(1 , ∞)

d

R, [1 , ∞)

answer is D.

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Detailed Solution

f(x)=|x|+|x+1|≥1          Domain = R                      Given function is defined for all real numbers         Range =[1,∞)               Range of x-a+x-b is [b-a,∞
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Domain, Range of f(x)=|x|+|x+1|  are respectively