Joey paints old furniture and sells the pieces at craft fairs. the function f(t) approximates how many pieces of furniture he paints per hour. the function w(h) represents how many hours per week joey spends painting the pieces of furniture. what are the units of measurement for the composite function f(w(h))?

function composition is an operation. that takes two functions f and g, and produces a function h = g . f such that h(x) = g. In this operation, the function g is applied to the result of applying the function f to x.

Let as consider the work f(t) approximates how numerous pieces of furniture he paints per hour.

It implies unit of this work is furniture/hours. The work w(h) speaks to how numerous hours per week Joey spends portray the pieces of furniture.
It implies unit of this work is hours/weeks. We have to be discover the units of estimation for the composite work f(w(h)).
It the work f(w(h)), to begin with we ought to apply the work w(h) after that f(t).

[tex]f(w(h)) = \frac{furniture}{hours} (\frac{hours}{week} )\\f(w(h)) = \frac{furniture}{week}[/tex]

The units of measurement for the composite function f(w(h)) is furniture/weeks.

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