Question

Find (f/g)(x) for f(x) = x2 – x – 6 and g(x) = x2 + x – 2

Answer 1

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

Answer 2

factor both trinomials = [(x-3)(x+2)]/[(x-1)(x+2)]

Answer 3

cancel out similar terms [in this case - the (x+2)]

Answer 4

x-3/x-1?

Answer 5

Yes. [x-3]/[x-1]

Answer 6

that is the answer?

Answer 7

It should be. Yes.

Answer 8

ok thanks and it helped that you explained it

Answer 9

You are welcome! Glad to help.

Answer 10

If it asks you to evaluate at a certain number, do the same thing and, for the last step, plug in your x.