function math prob?

Question

f(x) = x+2 / x-6

a) what is the domain? I said it was (x I x not equal to 4) am I right??

b) list the x- intercepts

c) list the y- intercepts, I said 1/2, is that right??

please help explain, I have lot Q's just like it, thanks!!

Answer 1

a) the domain is all x for which the function is defined, which in this case means all x except 6, which would make the bottom 0, and division by 0 is not defined.

b) get x intercepts when f(x) = 0
0 = (x+2)/(x-6)
0 = x + 2
x = -2

c) get y intercepts when x = 0
y = (0+2)/(0-6) = 2/-6 = -1/3