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Sagot :
The composite function of the paintings Jenny completes in a year is
[tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]
What is a composite function?
A composite function is a function made of other functions, where the output of one function is the input to the other function.
An example of the composite functions 2x+3 and [tex]x^{2}[/tex] together make the composite function [tex](2x+3)^{2}[/tex]
We have [tex]P(w)=\frac{1}{2}w+1[/tex]
Here, P(w) represents the number of paintings Jenny completes in some w weeks. and
J(y) represents the number of weeks per year.
As J(y) is the number of weeks spent per year in painting, we can calculate the paintings completed in a year by substituting
w as J(y) in the equation we have
Then the equation becomes:[tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]
Hence this is the composite function that would represent the number of paintings Jenny completes in a year.
Learn more about composite functions here:
https://brainly.com/question/10687170
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