Question

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

Answer 1

Factor the 3 out of 3x-6

What do you get? :)

Answer 2

that's the second part :)

Answer 3

first factor out 3 from 3x-6

:)

Answer 4

so thats 3(x-2) ?

Answer 5

correct

so what is \(\sf\Large\frac{3(x-2)}{x-2} = ?\)

Answer 6

3, right?

Answer 7

correct.

Answer 8

so f(x)/g(x) = 3, where \(\sf x \neq 2\)

Answer 9

so remember the domain is all real numbers unless we have a denominator or a square root

Answer 10

OOOOOH, THANK YOU !! Especially for walking through instead of just giving the answer helped a lot :)

Answer 11

You got the domain too, right? :)

Answer 12

it's all real numbers except for x cannot equal to 0.

even though we cross it out when we simplify, we still have to remember about it :0

Answer 13

:) *

Answer 14

yeah, thank you so much :)

Answer 15

Anytime! :)