Answer:
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