In this partner activity, students will practice composition of two functions. The composite functions are notated two different ways: f(g(x)) and (f o g)(x). There are included linear, quadratic, rational, radical, absolute value, trigonometric and exponential functions.
There are 10 sections as in each section partners are given two functions. In section 1, Partner A has to find f(g(x)) and Partner B has to find g(f(x)). In section 2 Partner A has to find g(f(x)) and Partner B – f(g(x)). In section 3, Partner A again has to find f(g(x)) and Partner B – g(f(x)) and so on. Students find out that in each section they get quite different results and understand that it is important to be careful which function comes first.
The practice sheet give room for students to show work.
Answer keys are included.
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