Question

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

Answer 1

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

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

Explanation:

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)`