Question

Slove: f(n) = 2n + 5
g(n) = n^2 + 3n
Find f(-3n) + g(-3n).

Answer 1

To solve the expression f(-3n) + g(-3n), substitute -3n into the given functions to find f(-3n) = -6n + 5 and g(-3n) = 9n^2 - 9n. Add these results together to get the final answer, which is 9n^2 - 15n + 5.

Step-by-step explanation:

To solve the expression f(-3n) + g(-3n), we need to substitute -3n into the functions f(n) and g(n):

• f(n) = 2n + 5, so f(-3n) = 2(-3n) + 5 = -6n + 5.
• g(n) = n2 + 3n, so g(-3n) = (-3n)2 + 3(-3n) = 9n2 - 9n.

Now, add f(-3n) and g(-3n) together:

f(-3n) + g(-3n) = (-6n + 5) + (9n2 - 9n) = 9n2 - 15n + 5

The final result is 9n2 - 15n + 5.