Question

Perform the indicated operation.
h(a) = a + 3
g(a) = a + 3a
Find (h. g)(a)

Answer 1

To find (h.g)(a), we need to perform the function composition of h(a) and g(a). (h.g)(a) = 16a.

Step-by-step explanation:

To find (h.g)(a), we need to perform the function composition of h(a) and g(a). Function composition is denoted by a dot (.) operator.

(h.g)(a) = h(g(a))

Substituting the expressions for h(a) and g(a), we get:

(h.g)(a) = h(a + 3a)

Simplifying the expression:

(h.g)(a) = (a + 3a) + 3((a + 3a))

Combining like terms:

(h.g)(a) = 4a + 3(4a)

(h.g)(a) = 4a + 12a

(h.g)(a) = 16a