Answered

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Jenny likes to paint. she estimates the number of paintings she completes using the function p of w equals one half times w plus one, where w is the number of weeks she spends painting. the function j(y) represents how many weeks per year she spends painting. which composite function would represent how many paintings jenny completes in a year?

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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