Question

can someone please help me with this math question? please? I'll fan and give a medal...

Answer 1

what is the domain of

x^2-x-6
----------
x^2-9x+18

Please help me...

Answer 2

first fator the top and bottom - can you do that ?

Answer 3

* factor

Answer 4

so I just watched a video on how to do this, and I think I answered it, but would you mind checking my steps?
please?

Answer 5

OK

Answer 6

Steps—
X1 = -(-9)-3 9-3
--------- = --------- = 3
2*1 2
X2 = -(-9)+3 12
--------- = --------- = 6
2*1 2
The domain is (3,6)

Answer 7

to be honest I dont know what thats all about!

Answer 8

so the domain isn't (3,6)?

Answer 9

The domain is all the possible values of x For a polynomial its all real x. But for a fraction like this some values of x are not included.

Answer 10

if we factor top and bottom we get

( x + 2)(x - 3)
------------
(x - 6)(x - 3)

Now as x - 3 is common to top and botommwe get


(x + 2)
------
(x - 6)

Answer 11

x can have any value except the one value which makes the denominator zero . ( dividing by 0 is not possible)

Answer 12

so x - 6 cannot be 0
- so what value of x makes x - 6 zero?

Answer 13

x=6?

Answer 14

right

So the domain is all real numbers except 6

Answer 15

Look at the graph and you'll see there is a break in it at x = 6.
https://www.desmos.com/calculator/kq3pywjqsm

Answer 16

so thats it? no 3? just 6?

Answer 17

thank you for the help!! I really appreciate it!