Many government services and activities are also provided on websites because the public is able to participate in them at any time of day and without the assistance of government personnel. Many government websites offer a low cost, quick, and convenient way of filing tax returns, paying bills, renewing licenses, signing up for programs, applying for permits or funding, submitting job applications, and performing a wide variety of other activities.
Any business that is considered a “place of public accommodation” is required to provide equal access to services under the nondiscrimination requirements of Title III of ADA. When you look at the guidelines closely, this includes hotels, entertainment venues, legal and accounting firms, retail stores, and virtually every business that is not a private club, including businesses that exist solely on the web.
The gray area is a matter of scale and purpose. If you have a small business which serves as specific market it's a good idea to make the site as user and disability friendly as possible. If, however, your market serves segments with a likeliness to have various handicaps or disabilities you should address that with an ADA Compliance review of the site. Also consider the scale and purpose of an organization. Publicly traded large businesses need to concern themselves more than a single location family owned retailer and if someone sues your flower shop because the text was too small or didn't have "image alt tags" causing them distress... That's pretty frivolous and would likely not stand.
The ADA’s relationship with websites has been a complicated and often confusing story. The ADA does not explicitly address online compliance, even after undergoing several amendments in the far more web-oriented era of 2008. With no specific coverage under the law, it usually falls to the courts to determine how ADA standards apply to websites—or whether they do at all.
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I am struggling with this right now. Alt text, captions, audio (read to me) options are good. I work with an accounting software app that redesigned its palette to red, black, and gray. No green to signify income. Made no sense to me and their gray text (also very skinny sans serif) made reading many nav bars difficult. Some URLs are accessible from the build-out, but the DIY sites often don't have the same capacity. As with secure sites, I think google will be downgrading those sites with little or no compliance or accessibility add-ons.
Most recently, however, pizza chain Domino's has been brought under suit for their website not being accessible for specialty ordering. The U.S. Supreme Court refused to review the case, instead upholding the decision of the 9th U.S. Circuit Court of Appeals who said the “alleged inaccessibility of Domino’s website and app impedes access to the goods and services of its physical pizza franchises—which are places of public accommodation.” 
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