The units for the composite function s(w(h)) is bracelets over a week when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.
To define the unit of the composite function s(w(h)), we first need to find the units of the functions s(t) and w(h).
The function s(t) represents the number of bangles per hour, so its unit will be bangles over an hour.
The function w(h) represents the hours per week spent on making the bracelets, so its unit will be hours over a week.
Now, we can define the unit of the composite function s(w(h)).
To find the unit of the composite function we follow these steps:-
s(w(h)),
= s(hours over a week) {replacing the function w(h) by its units},
= (bangles over an hour(hours over a week)) {replacing the function s(t) with its units},
= bangles over a week {Simplifying}.
Thus, the units for the composite function s(w(h)) is bracelets over a week when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.
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