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# Calculus University Maths Domain Help watch

1. I am required to find the Domain of

where (x) =

I have found the following Domains;

D(f) = [0,+∞]
D(g) = [-∞,1]

to find Domain of

D( ) = D(f) n D(g) - g(x) = 0 Is this correct?

If this is correct then

D(f) n D(g) = [0,1]

Where g(x) = 0 x must = 1

hence D() = [0,1] - 1 ??

crashMATHS

Any help is welcome. Thank you in advance.
2. (Original post by NoahMal)
...
That right, though your notation can be much better.

So your answer can just be rewritten as
3. (Original post by RDKGames)
That right, though your notation can be much better.

So your answer can just be rewritten as
Thank you for this, but I'm still confused with what I do with x : g(x) = 0 with the final notation?
4. (Original post by NoahMal)
Thank you for this, but I'm still confused with what I do with x : g(x) = 0 with the final notation?
The backlash means 'except from the set...' and then I proceed to define a set with elements in the domain of g, such that (which is what the colon means) we have . So overall it just means "Intersection of the two domains except the set of values for which the denominator is 0"

The set can also be just simplified to, and replace by,

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