Question

How do you find the domain and range of `f(x)=1/(3x-6)`?

Answer 1

`y in RR "\" {0}`
`x in RR "\" {2}`

Explanation:

Finding the Vertical asymptote by making sure that the denominator cannot reach zero.

`3x-6!=0`

`3x!=6`

`x!=2`

Find the Horizontal asymptote by knowing that when degree of denominator > degree of numerator, H.A = 0.

Therefore, `y!=0`

Since there are no other restrictions, `y in RR "\" {0}` and `x in RR "\" {2}`.