MATH 112 Lecture 11: lecture11
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2. factoring:by taking out everything that is common, reverse of distribution. 3. cancel fractions: ( the a can not be canceled, because the numerator is not multiplication. ) If what is the new function h(x)=f(x)*g(x). the answer is which is the first problem. First introduce intersection and union u: intersection is the numbers happened in both for example {6,47} {6,48}={6}. union is numbers included in either set for example {6,47}u{100}={6,47,100}. Domain is a set of number like{6,47} is a set. We need to consider the zero case in the denominator, we should exclude this situation so dh=df d g minus the set x where g(x)=0. Example:the local jazz society puts on a series of weekly concerts during the fall. When concert tickets are priced at , the average attendance is 400 people. The society has been researching different ticket prices, and they"ve found that each increase in price will generally result in 25 fewer people attending.