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.
1
Expert's answer
2021-09-09T18:12:57-0400
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"
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