Question

How do you find the domain of this function?

Answer 1

\[\ln(x^{3}-2x^{2}-9x+18)\]

Answer 2

Wait doesn't it have to be greater then zero because it's logarithm or something?

Answer 3

@campbell_st @whpalmer4

Answer 4

yes

Answer 5

oh ok so that way I get (-3, 2) U (3, infinity)

Answer 6

I looked for the critical points then used a sign chart to see where the sign changes.

Answer 7

x3−2x2−9x+18

x^2(x−2)−9(x-2) = 0

x=2, -3 and 3 yes