Question

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

A. 3; all real numbers
B. 3; all real numbers except x=2 (my answer)
C. 1; all real numbers
D. -3; all real numbers except x=3

Answer 1

@phi @priyar

Answer 2

what is f/g (x) ?

Answer 3

What do you mean?

Answer 4

ok...what is f(x)/g(x)

Answer 5

3x-6 / x -2?

Answer 6

yes, but it's better to write (x-2) in the bottom

Answer 7

yes..and ur domain is correct (saw just now!)

Answer 8

\[3x-6/(x-2)\]

Answer 9

Wait, so are you saying my answer was correct?

Answer 10

yes!

Answer 11

Ohh okay! Thank you!

Answer 12

yes. We don't allow divide by 0, so we say x is not allowed to be 2

Answer 13

u r welcome!

Answer 14

f(x) = 3x-6 and g(x)=x-2.
Ok, so you have those 2 equations, and you're trying to find the domain of a new equation, f/g. You just plug those equations in for those letters, so you'll have...
\[(3x-6)/(x-2)\]
The domain would be equal to anything where the denominator isn't 0, and the only value when that is true is any point except 2, so all real numbers but 2 would be your domain.