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What is the domain and range for #f(x) = (2 - x) /( 3 + x)#?

Answer 1

Abigail Allen

Refer to explanation

The domain is #R-{3}# and for the range we have

#y=(2-x)/(3+x)=>y(3+x)=2-x=>3y+yx=2-x=> x(y+1)=2-3y=>x=(2-3y)/(y+1)#

Hence the range is #R-{-1}#.

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Answer 2

Hazel Anglin

Domain: All real numbers except x = -3 Range: All real numbers except y = -2/3

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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