Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is absorbed into the bloodstream. suppose that, for a dosage of x mg, the bioavailability is h(x) = 1 2 x mg. if x mg enters the bloodstream, suppose that the amount eventually absorbed into the site of an infection is given by g(x) = 4x/(x + 4) mg. finally, if x mg is absorbed into the site of an infection, suppose that the number of surviving bacteria is given by f(x) = 3200/(8 + x2), measured in colony forming units, cfu. 1.) derive the function that relates oral dosage to the number of surviving bacteria. you do not need to simplify.

2.) suppose the antibiotic is instead administered by injection. derive the function that relates dosage to the number of surviving bacteria. you do not need to simplify. why is this different than the formula obtained in part b?