Find the product of: (f.g)(c) = 5a² + 3c + 6(3c⁴ - 2c)

To find the product of (f.g)(c), we first need to find the functions f(c) and g(c) separately.

Given:
f(c) = 5a² + 3c
g(c) = 6(3c⁴ - 2c)

Now, we can find the product of f(c) and g(c) by substituting g(c) into f(c):

(f.g)(c) = f(g(c))
(f.g)(c) = 5a² + 3(6(3c⁴ - 2c))
(f.g)(c) = 5a² + 18c⁴ - 12c

Therefore, the product of (f.g)(c) is:
5a² + 18c⁴ - 12c

(f.g)(c) = f(g(c))

First, we need to find g(c):
g(c) = 5a² 3c 6(3c⁴ - 2c)

Now, we can substitute g(c) into f(x):
f(g(c)) = f(5a² 3c 6(3c⁴ - 2c))

Finally, we evaluate f(g(c)):
f(5a² 3c 6(3c⁴ - 2c)) = 5a² 3c 6(3c⁴ - 2c)