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That all depends on the functions you are given for the problem! When you add or subtract from the original function, then we obtain the new function.

If you combine the functions with different domains, then the domain of the addition/subtract obeys whatever domain other function has. For instance:

f(x) = 1/x and g(x) = x

f(x) + g(x) = (1/x) + x

= (1 + x²)/x

Then, the domain is all real values except 0 since x = 0 makes the denominator zero, hence making the whole expression undefined. If x = 0, then this makes f(0) undefined.

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Q: What happens when you add or subtract from the original function?
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