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Grade 12th passDifferential Calculus

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

asif

7 Years agoGrade 12th pass

1 Answer

Aditya Gupta

7 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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