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If an antibiotic is taken orally, only a fraction of the antibiotic is actually absorbed in the bloodstream. This fraction is called bioavailability of the

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If an antibiotic is taken orally, only a fraction of the antibiotic is actually absorbed in the bloodstream. This fraction is called bioavailability of the dose. Let H 2 Mat) represent the bioavailability of a specific antibiotic when :1: mg is taken orally. Also, let G = g(h) represent the amount that is eventually absorbed at the site of the infection if h mg of antibiotic enters the bloodstream. Finally, let F = f(g) represent the number of surviving bacteria in colony forming units if 9 mg is absorbed into the site of the infection. a) Use function notation to write an expression that represents the amount of antibiotic that is absorbed at the site of infection if 5 mg is given orally. b) Use function notation to write an expression that represents the amount of antibiotic absorbed if an amount of 8 mg enters the bloodstream. c) Use function notation to write an expression that represents the number of surviving bacteria if 3 mg is injected directly into the bloodstream

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