Thursday, August 11, 2011

Find the composite function (f o g) and (g o f). Are they equal What is the domain of each composite function?

In order for them to be equal when computing f o g and g o f by plugging in a value for x, they have to come out to the same number. so for f o g start by putting a value in for x in g(x). compute. for example compute g(3) = 3-1= 2. now use the 2 in f(x) to compute f(2)=1/2^2. not sure if u meant 1/2^2 or (1/2)^2 so compute that to get f o g. Now try in reverse order to get g o f. Start by using 3 again. plug into f(x) first this time. f(3)= 1/3^2. get an answer. plug that answer into g. get a final anwer. if this answer mathches your final answer from f o g then the functions are equal. the domain means what numbers can u put into the functions. graph to find in each case g (x) al real numbers can be computed. in f(x) depending on what u meant the domain may be differnt. good lucK!

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