Find (f+g)(x), (f-g)(x), (fg)(x), and (f/g)(x), and their domains. f(x)=x+9, g(x)=x-9?
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Seriously... I can't figure out HOW to get this answer, textbook no help or nothing!!
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Seriously... I can't figure out HOW to get this answer, textbook no help or nothing!!
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(f + g)(x) = x + 9 + x - 9 = 2x, and the domain is all real x.
(f - g)(x) = x + 9 - x + 9 = 18, and again the domain is all real x.
(fg)(x) = (x + 9)(x - 9) = x^2 - 81, and again the domain is all real x.
(f/g)(x) = (x + 9) / (x - 9), and the domain is all real x...EXCEPT 9.