F (x) = x (x - 1)

g (x) = 3x

Find: (f * g) (6)

54

540

27

264

540

Step-by-step explanation:

f (x) = x (x - 1)

g (x) = 3x

(f * g) (x) = x (x - 1) 3x

= (x^2 - x) * 3x

= 3x^3 - 3x^2

=3x^2 (x-1)

Let x = 6

(f * g) (6) = 3*6^2 (6-1)

= 3*36 * 5

540

540

Step-by-step explanation:

(f*g) (6) = f (6) * g (6).

Now we need to find f (6) and g (6). Once we find their values we multiply them.

f (6) means to replace x in x (x-1) with 6:

6 (6-1)

6 (5)

30

So f (6) = 30.

g (6) means to replace x in 3x with 6:

3 (6)

18

So g (6) = 18.

(f*g) (6) = f (6) * g (6) = 30*18=540.