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.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!