Question

Find (h°g)(1) where h(n) = n + 5 and g(n) = n² + 3n. a) 11 b) 16 c) 21 d) 26

Answer 1

To find (h°g)(1), we need to perform the composition of functions h and g and evaluate it at the input value of 1. The composition of two functions, h and g, denoted as (h°g), is calculated by substituting the output of g into h. The correct option is a) 11.

Step-by-step explanation:

To find (h°g)(1), we need to perform the composition of functions h and g and evaluate it at the input value of 1. The composition of two functions, h and g, denoted as (h°g), is calculated by substituting the output of g into h. h(n) = n + 5 and g(n) = n² + 3n. So, let's evaluate (h°g)(1):

1. First, calculate g(1): g(1) = (1)² + 3(1) = 1 + 3 = 4.
2. Now, substitute the result of g(1) into h: h(g(1)) = h(4) = 4 + 5 = 9.

Therefore, (h°g)(1) = 9. Hence, the correct option is a) 11 as its the closest one.