# Thread: Function domain

1. ## Function domain

$\frac{x^3-3x^2+1}{x^3}$
Would the domain of this function be
y defined for all x
and for all x not equal to 0

2. All x not equal to 0! right you are sir!

And do you know why?

3. Originally Posted by VonNemo19
All x not equal to 0! right you are sir!

And do you know why?
0 can't be used with an exponent?

4. Originally Posted by anon_404
0 can't be used with and exponent?
That's only true for exponents < 0

What's $\frac 1{0}$?

5. Originally Posted by derfleurer
That's only true for exponents < 0

What's $\frac 1{0}$?
0?

6. If $\frac {10}5 = 2$ than working backwards $2 * 5 = 10$

So if $\frac 10 = 0$ than how is it that $0 * 0 = 1$?

7. not possible to /0?

8. In basic arithmetic division by zero is meaningless. So for a function like $y = \frac 1x$, we simply say that @ x = 0, y is undefined. This is also the case in your original equation.

9. How can you divide by nothing? See what I'm driving at?

10. i think the domain would be x

11. Yes, the intent was for what values of our domain is our range defined.