How can I find the domain of this function?

f(x) = (√1-2x)/(x^2 -9) + 3/(x^2 - 6x +8)

I thought:

x^2-9 -> (x-3)(x+3)

x^2-6x+8 -> (x-4)(x-2)

(√1-2x) (x-4)(x-2) + 3(x-3)(x+3)

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(x-3)(x+3)(x-4)(x-2)

I just don't know what to do next and it just feels not right (Angry), please someone tell me how can I find the domain.

Re: How can I find the domain of this function?

Hello, letranger9000!

The denominators must not be zero.

. . Hence: .

From that radical: .

. . Hence: .

We want all numbers less than or equal to , except

Domain: .