Question

Let f(x)= 3x – 6 and g(x) = x –2. Find f/g and its domain.

Answer 1

Factor, f(x). Cancel common factor with g(x). Set g(x)=0 to find restriction on domain.

Answer 2

would you do that by multiplying by the reciprocal of g(x)

Answer 3

what did you get?
for the factor

Answer 4

Multiplying by the reciprocal means the same thing. Division is defined in that way.

I think you should see the factor well enough yourself. Try working it out and let me know what you see.

Answer 5

okay i will

Answer 6

i got 3x^2-12 divided by x^2 -4
Now what?

Answer 7

Would you mind taking common ?

Answer 8

what i got 0

Answer 9

i divided and i got 3-3 which would be 0
is that right?

Answer 10

Let me do it for you.

3(x^2-4)/x^2-4

Answer 11

oh okay
duh

Answer 12

What do you get ?

Answer 13

now what
you get 3

Answer 14

Exactly .....

Answer 15

okay so 3 is f/g what about the domain?

Answer 16

all real numbers?

Answer 17

or is it all real numbers except for 2

Answer 18

Set denominator = 0 and solve for x

Answer 19

You will know the restriction of the domain.

Answer 20

so it would be 3x-6/0?

Answer 21

No no set 0=x-2 >x=2 is a restriction

Answer 22

on the domain.

Answer 23

so the answer is 3 in f/g
and the domain is all real numbers except for 2

Answer 24

right

Answer 25

Awesome :)

Answer 26

thanks for the help...im good at math I just struggle with some questions