f(n)=-2n^2- 5
g(n)=4n+3
Find (f•g)(n)
To find (f • g)(n), which represents the composition of functions f(n) and g(n), we first need to find g(n) and then substitute it into f(n).
Given:
f(n) = -2n^2 - 5
g(n) = 4n + 3
Substitute g(n) into f(n):
f(g(n)) = f(4n + 3)
= -2(4n + 3)^2 - 5
= -2(16n^2 + 24n + 9) - 5
= -32n^2 - 48n - 18 - 5
= -32n^2 - 48n - 23
Therefore, (f • g)(n) = -32n^2 - 48n - 23.