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

1 Answer
Oct 21, 2015

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}.