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Let f(x)=[x] and g(x)=|x| . Find (gof)(5...

Let `f(x)=[x]` and `g(x)=|x|` . Find `(gof)(5/3)- fog(5/3)`

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To solve the problem, we need to evaluate \( (g \circ f)(\frac{5}{3}) - (f \circ g)(\frac{5}{3}) \). ### Step 1: Define the functions - \( f(x) = [x] \) is the greatest integer function (also known as the floor function). - \( g(x) = |x| \) is the absolute value function. ### Step 2: Calculate \( (g \circ f)(\frac{5}{3}) \) This means we first apply \( f \) to \( \frac{5}{3} \) and then apply \( g \) to the result. ...
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