how do you find domain?

Question

f(x)= x-1 / x^2- 4

how do you find domain?

Answer 1

You can't have 0 on the bottom of a fraction, so x squared - 4 can't be 0.
That means x squared can't be 4
That means x can't be 2 or -2, but it can be anything else.

Answer 2

In a quotient, it's usually the roots of the denominator that control the domain set. In this case, the domain would be the set of all reals --except-- +2 and -2 (since at those values, x²-4 = 0)

HTH

Doug

Answer 3

Sorry, but if the denominator had a square root the domian would be [-2,2], but since it doesn't I don't think this problems domain can't be found.

Answer 4

Next time use parenthesis

I understand this: x - (1/x^2) - 4 but you probably ment this:

(x-1)/(x^2 -4)

Ana