Question

How do you determine the domain and sketch the graph of the reducible function for:

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

Answer 1

http://www.wolframalpha.com/input/?i=domain+f%28x%29+%3D+%28x+%2B+2%29+%2F+%28x^2+-x+-+6+%29

Answer 2

The domain of the original function is x is all reals except -2 and 3.
If you factor the denominator you get
f(x) = (x + 2) / ((x-3)(x+2))
cancel out the x+2 terms
f(x) = 1/(x-3)
If you graph this function, your original function is the same except it has a hole at x = -2.

Answer 3

Thank you