F(x) = x(x - 1) g(x) = 3x find (f*g)(6)

Mathematics

2 answers:

Radda [10]3 years ago

6 0

Step-by-step explanation:

$\sf{ \longmapsto(6(6-1))×3(6)}$

$\sf \longmapsto{ = 30 \times 18}$

$\sf \longmapsto \boxed{ = \red{5} \blue4 \pink0}$

svetlana [45]3 years ago

4 0

Step-by-step explanation:

Given functions:

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

Find (f*g)(6):

(f*g)(6) = f(6)*g(6) = 6(6 - 1)*3(6) = 30*18 = 540

In case it is a composite function (f · g)(6) the answer is different:

(f · g)(6) = f(g(6)) = f(3*6) = f(18) = 18*(18 - 1) = 306

You might be interested in

Write a equation in the form y=mx+b for the line which contains the points (-8,20) and (-4,0)

marin [14]

M = 20/-4 = -5

Sub in (-4,0): 20+b = 0 ->b = -20

So, y = -5x - 20

3 0

3 years ago

Read 2 more answers

Can somebody help me with this and show work ?? :)

kobusy [5.1K]

Answer: C.

Step-by-step explanation:

If the figure gets rotated 270ᴼ, then all of the transformed sides are perpendicular to the sides of the original figure.

The slope of DE is 2/4 (2 units up, 4 units over) or 1/2. If D’E’ is perpendicular to DE, then the slopes have negative reciprocals.

DE’s slope: 1/2

D’E’ slope: -2/1 or -2 (down 2, over 1)

5 0

3 years ago

Can someone help me and explain step by step

Shkiper50 [21]

Answer: 5) r = 5, 8th term = -78,125

6) r = 5, 8th term = -312,500

7) r = 5, {1, 5, 25, 125, 625}

8) r = 5, {-4, -20, -100, -500, -2500}

Step-by-step explanation:

The explicit formula of a geometric sequence is: $a_n=a_1\cdot r^{n-1}$ , where;

n is the number of the term
a₁ is the first term
r is the common ratio

$5)\ a_n=-5^{n-1}\\.\qquad =-1\cdot 5^{n-1}\quad \rightarrow \quad a_1=-1\ and\ r=5\\\\a_8=-5^{8-1}\\.\quad =-5^7\\.\quad =-78,125\\\\\\6)\ a_n=-4\cdot 5^{n-1}\quad \rightarrow \quad a_1=-4\ and\ r=5\\\\a_8=-4\cdot 5^{8-1}\\.\quad =-4\cdot 78,125\\.\quad =-312,500$

$7)\ a_1=1\ and\ r=5\\.\quad a_2=1\cdot 5=\boxed{5}\\.\quad a_3=5\cdot 5=\boxed{25}\\.\quad a_4=25\cdot 5=\boxed{125}\\.\quad a_5=125\cdot 5=\boxed{625}\\\\\\\\8)\ a_1=-4\ and\ r=5\\.\quad a_2=-4\cdot 5=\boxed{-20}\\.\quad a_3=-20\cdot 5=\boxed{-100}\\.\quad a_4=-100\cdot 5=\boxed{-500}\\.\quad a_5=-500\cdot 5=\boxed{-2500}\\\\\\$