What is the domain and range of $y=1/(x-2)$ ?

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Answer 1 · 2016-12-24T16:00:13

Domain $(-oo,2)U(2,oo)$

Range $(-oo,0)U(0,oo)$

Domain is all x except x=2. at which y becomes undefined. $(-oo,2)U(2,oo)$

For range solve y= $1/(x-2)$ for x, It is x= 2+1/y. Here x becomes undefined for y=0. Hence Range of y would be $(-oo,0)U(0,oo)$

What is the domain and range of y=1/(x-2)y=1/(x-2)?