Question

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

Answer 1

Please explain to me how to get to my answer dont just give it to me

Answer 2

@agent0smith ?:)

Answer 3

f/g means f divided by g. So do that, f is 3x-6, g is x-2. Make sure to divide the entire expression (use parentheses)

Answer 4

I would divide i just dont know how i would ...like give me an example where you divide?

Answer 5

x divided by 2 is: x/2

4x+7 divided by 2x-3 is (4x+7)/(2x-3)

Answer 6

(3x-6)/(x-2) thats what im trying to solve right? but how? im kinda really dumb

Answer 7

Now, get the domain, then we'll simplify.

You can't divide by zero, so set x-2 equal to zero and solve for x.

Answer 8

What does that mean? Omg im so lost

Answer 9

x-2 = 0

solve.

Answer 10

x=2

Answer 11

so the domain is all real numbers except x=2

Now, simplify, by factoring out a 2: \[\Large \frac{ 3x-6 }{x-2} = \frac{3(x-2) }{x-2} \]

Answer 12

I plug in 2 where there is an x?

Answer 13

No, that was the domain, we're done with that. Try simplifying it. \[\Large \frac{3(x-2) }{x-2}\]

Answer 14

Oh okay okay ...umm i would just get left with three right ?

Answer 15

Correct.

f/g = 3, and the domain is: all real numbers except x=2

Answer 16

Okay thanks so much :) I swear its great having you fanned lol

Answer 17

haha you're welcome :)