e jane aran

How would two men (or two women), absent outside help (adoption, a surragate, a turkey baster and a friend, etc), reproduce? I was speaking of "reproduction" only in that sense. Note: I'm a bit invested. My kid would require outside help to be able to give me grandbabies. And I'm fine with that. My kid is an amazing human being! ❤️

Since homosexuals can't reproduce, how does the trait not get bred out of existence? This is actually a good question, and some scientists decided to research the topic. It turns out that the sisters of homosexual men have statistically-significantly more children than do women with no homosexual siblings. [sample link] So is there a "gay gene", or is there just a "I really like men!" gene? 😍

There are loads of resources. National Institutes on Health Vox Depew (PDF) Years ago, I'd read a startling little book on the topic, but I have no idea what its title might have been. Sorry.

Nuh-uh! It's *elephants* all the way down! 😁

Prohibition worked great: greatly reduced rates of liver disease, domestic violence, drunk driving, etc. Other than enabling the creation of the Mob, it was a smashing success. Ah, but that Mob thing.... I think the "war on drugs" has been even less successful (in terms of public health, etc). So, other than enabling the creation of transnational gangs and their attendant violence, the war on drugs has been a less-than-smashing success. Ah, but that gangs thing....

So the pool hall's building is, essentially, double hulled? Interesting....

Yes, that's right. 😊

Looks good to me. 😊

Off-topic, but I just wanted to mention: You have very nice penmanship! 😊

On what basis have you concluded that the domain is "a complex number", rather than being some portion of the set of real numbers? It should be noted, by the way, that the domain is the set of all values which *are* allowed, not the set of values which are *not* allowed.

1. "x = 0" Yes, this domain restriction is valid. 2. "Setting x^2 + 1 to be 0 leads to a domain over the function not over the real number." I'm sorry, but I don't know what this means...? 3. "Let D = domain of function; D = {x || x not equal to 0}" Yes, this is the correct domain.

"D = {x | x not equal to -4} Correct?" Yes. "How do I find the domain by graphing?" By drawing the graph and, in the process, noticing the vertical asymptote and thus the disallowed value. https://www.google.com/search?q=graphing+rational+functions+without+a+calculator

"If I set the denominator to be 0, the domain will not be found over the real numbers." Does the above-quoted portion mean "If I set the denominator equal to zero, I get no solution; does this mean that the domain is 'all real numbers', because the denominator never makes the rational expression undefined?"? If so, the answer is "yes".

A. Yes. B. Do the graph. In the process, note which value(s) of x don't work. (The vertical asymptote(s) are dead give-aways.)