Question

Let f(x)=3x-6 and g(x)=x-2 find f/g and it's domain

Answer 1

f/g = (3x-6) / (x-2)

the domain is all x but the x's that make the denominator zero
so the domain is :
all x except 2

Answer 2

f/g = 3

Answer 3

(it is simplified like this)
but still x cant be 2.

Answer 4

there is a "hole" at x=2

Answer 5

and f/g can not be 3

Answer 6

yes it can be 3..
it is 3 everywhere except at x=2.

Answer 7

\[f/g=(3x-6)\div(x-2)=3\]
then we cannot find x for which f/g=3

Answer 8

when someone tells you
y=2
you know that y is 2 for every x.
how would you graph that ?