Question

Can someone explain how to find the domain of a function for me, please?

Answer 1

The domain is anything you can input into a function and still have it remain well-defined.

Answer 2

For example, if a simple function contains a quotient, then anything that would result in a division by 0 would be outside of the function's domain.

Answer 3

domain of a function is the range of values for which the function is finite, it should not become infinite or the forms of 0/0, infinity/infinity and so

Answer 4

What would it look like compared to a function looking like, let's say, {(a,b), (c,d) (e,f) (g,h)} for example?

Answer 5

What would the domain look like?

Answer 6

As in appearance. Would it just be { } or would I be adding parentheses in there, too?

Answer 7

It depends on the notation you use. I generally use interval notation because I find it the simplest and easiest to express basic domains. For example, for a function that can accept any real number except -1 or 1 the domain might be:
\[\Large x \in ( - \infty , - 1) \cup ( - 1,1) \cup (1,\infty )\]

Answer 8

Thank you!

Answer 9

No worries.

Answer 10

I have found that when it comes to figuring out domains, it is very helpful to know by heart some of the most general ones. For example, the domain of a function of the form \(\frac{1}{x}\) is \((-\infty, 0)\cup(0,\infty)\); the domain of a function of the form \(\sqrt{x}\) is \([0,\infty)\); the domain of a function of the form \(\log(x)\) is \((0,\infty)\) and so on.\[\]

Answer 11

Thanks c: