Question

Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6?
plz help me @myininaya

Answer 1

\[f(x)=\frac{9x^2+9x-18}{3x+6}\]
is what you mean?

Answer 2

correct :)

Answer 3

I suggest factoring everything

Answer 4

the top and the bottom

Answer 5

3x+6= what in factored form?

Answer 6

idk how to do that sorry :/

Answer 7

3x and 6 have what as a common factor?

Answer 8

wat do u mean?

Answer 9

if we write the factors of both 3x and 6
we see that 3x=3*x
and 6=3*2
so 3x has factors 3 and x
and 6 has factors 3 and 2
therefore the only factor tht 3x and 6 have in common is 3
therefore we can factor 3x+6
by factoring out 3
so 3x+6=3(x+2)

Answer 10

I guess since you have never done that you will not be able to tell how to factor the numerator

Answer 11

ok

Answer 12

like you don't know how to factor
\[9x^2+9x-18?\]

Answer 13

i think i do

Answer 14

oh okay
let's see if you can factor that

Answer 15

i'm stuck.. :/

Answer 16

first did you factor out what all three terms had in common?

Answer 17

9x^2=9*x^2
9x=9*x
-18=9*(-2)

Answer 18

so you can write
\[9x^2+9x-18 \text{ as } 9(x^2+x-2)\]

Answer 19

can you factor the x^2+x-2?

Answer 20

what are two integer numbers that multiply to be -2 and add up to be 1?

Answer 21

2 and -1

Answer 22

so the factors are (x+2) and (x-1)

Answer 23

so 9x^2+9x-18
is 9(x+2)(x-1)

Answer 24

i always have trouble figuring out the numbers next to x while factoring

Answer 25

\[f(x)=\frac{9(x+2)(x-1)}{3(x+2)}\]
so we have a discontinuity at what x value?

Answer 26

we cannot divide by 0

Answer 27

so x+2 cannot be 0
but x+2=0 when x=?

Answer 28

-2

Answer 29

\[f(x)=\frac{9(x+2)(x-1)}{3(x+2)}=3(x-1), x \neq -2 \]

Answer 30

our function will not exist at x=-2

Answer 31

the x+2's canceled

Answer 32

and 9/3=3

Answer 33

do you think you can graph f(x)=3x-3 when x doesn't equal 2

Answer 34

so in a graph its supposed to look like this?