Solution to Let f and g be functions from the positive real numbers to positive real numbers … - Sikademy
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Archangel Macsika

Let f and g be functions from the positive real numbers to positive real numbers defined by f(x) = [2x] g(x) = x2. Calculate f o g and g o f.

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The integral part or integer part of x, often denoted [x] is usually defined as the \lfloor x\rfloor if x  is nonnegative, and \lceil x\rceil otherwise.



f\circ g=[g]=[2x^2]=\lfloor 2x^2\rfloor, since \ 2x^2\geq0,x\in\R

g\circ f=(f)^2=([2x])^2


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