Determine the domain of a function, algebraically.
There are a limited type of functions that exist. (Ex: a function can be quadratic, squared, etc.)
So I was wondering if there are any rules that can help determine what the domain of a given function is without graphing.
I know of only one rule, that all linear functions have the domain of all real numbers.
Does that rule also apply to quadratic functions?
Also how would one determine the domain of an function algebraically, with functions like: \[q(w) = \dfrac{w + 4}{w^2 + 1}\]

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In interval notation, would we write that as: \[(0, \infty)\]

Your domain for this should be all real numbers, are you sure it's w^2+1?

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