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