8) g(n) = 3n + 2
perform the indicated operation
f (n) = 2n
2
+ 5
find g( f (2))

The answer is: 41

Step 1: Calculate f(2).
Step 2: Calculate g(f(2)).

Step 1.
f(n) = 2n² + 5

If n = 2, then f(n) = f(2) = ?

f(2) = 2 * 2² + 5 = 2 * 4 + 5 = 8 + 5 = 13

Step 2.
g(n) = 3n + 2

If n = f(n), then g(n) = g(f(n)).
If f(2) = 13, then g(f(2)) = g(13) = ?

g(13) = 3 * 13 + 2 = 39 + 2 = 41