Please help i will give brainliest this is really important it looks like a lot but its only one question Lily is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 30 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 40w represents the number of seeds she plants per week, where w represents the number of weeks.

Part A: Write a composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks. (4 points)

f(s(w)) = 80w+30

Step-by-step explanation:

Given

The function g(s) = 2s + 30 that represents the number of flowers that bloomed, where s is the number of seeds she planted.

The function s(w) = 40w represents the number of seeds she plants per week, where w represents the number of weeks.

Required

Composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks.

The composite expression needed is g(s(w)

g(s(w)) = f(40w)

To get g(40w), we will replace s with 40w in g(s) as shown;

g(s) = 2s+30

g(40w) = 2(40w)+30

g(40w) = 80w+30

g(s(w)) = 80w+30

Hence the required composite function is expressed as g(s(w)) = 80w+30

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