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I`m studying in Bangladesh.Green University of Bangladesh.its my math task to solve.but I cant that`s why I need your help to solve the math.find the domain and range of f(x)=x/x+1

I`m studying in Bangladesh.Green University of Bangladesh.its my math task to solve.but I cant that`s why I need your help to solve the math.find the domain and range of f(x)=x/x+1

Grade:12th pass

1 Answers

Aditya Gupta
2081 Points
5 years ago
domain is all x for which function is defined. so clearly it is defined for all real x except when the denominator x+1=0
or x= – 1, so DOMAIN is x belongs to R – {–1}
also, write f(x)=1 – 1/(x+1) 
we know that 1/(x+1) can attain all real values except for zero. so 1 – 1/(x+1) can attain all values except 1-0=1
so, RANGE is R – {1}.

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