Product of a set function: (f • g)(x) = (5x + 1)(3x - 2)

To find the product of the functions f(x) = 5x + 1 and g(x) = 3x - 2, we simply multiply them together:

(f • g)(x) = (5x + 1)(3x - 2)
= 5x(3x) + 5x(-2) + 1(3x) + 1(-2)
= 15x^2 - 10x + 3x - 2
= 15x^2 - 7x - 2

Therefore, the product of the functions f(x) = 5x + 1 and g(x) = 3x - 2 is (f • g)(x) = 15x^2 - 7x - 2.

(f • g)(x) = f(g(x))

g(x) = 3x - 2

f(g(x)) = f(3x - 2) = (5(3x - 2) + 1)

Therefore, (f • g)(x) = (15x - 10 + 1) = 15x - 9

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