1、 学校 班级 姓名 学号 青岛格兰德中学20122013学年度第二学期 高一年级中英班数学学科模块检测考试时间：90分钟；命题人：数学组1.(a)Simplify .(b)Hence, or otherwise, express as a single fraction in its simplest form.2.Express as a single fraction in its simplest form.3.The function f(x) is define by a.Sketch the graph of f(x)b.Write down the range of fc.Fin
2、d the values of x for which f(x) 1.(a)Show that f(x) = , x 1.(b)Find f 1(x).The function g is defined by g: x x2 + 5, x .(c)Solve fg(x) = .8.A particular species of orchid is being studied. The population p at time t years after the study started is assumed to bep = , where a is a constant.Given that there were 300 orchids when the study started,(a)show that a = 0.12,(b)use the equation with a = 0.12 to predict the number of years before the population of orchids reaches 1850.(c)Show that p = .(d)Hence show that the population cannot exceed 2800.
