Operation with Functions - f(n) =4n-5, g(n) = n^2-3n Find f(g(n/2))

Question

What am I supposed to do with that n/2 ?

Answer 1

f(n) = 4n - 5

g(n) = n² - 3n

 

f(g(n)) = 4(n² - 3n) - 5

f(g(n)) = 4n² - 12n - 5

 

f(g(n/2)) = 4(n/2)² - 12(n/2) - 5

 

Can you simplify from here?