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2 years ago

F(x) = 3x + 9, g(x) = 3x^2 Find (fg)(x).

Mathematics

1 answer:

Mashutka [201]2 years ago

3 0

(fg)(x)=f(g(x))

So all you have to do is plug the g(x) in

3(3x^2)+9=f(x)

9x^2+9=f(x)

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wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc

Ksju [112]

d) You have a difference of squares:

49y² - 9 = (7y)² - 3²

Recall the identity,

a² - b² = (a - b) (a + b)

So,

49y² - 9 = (7y - 3) (7y + 3)

e) Pull out the common factor 3 from each term:

3x² - 3x - 90 = 3 (x² - x - 30)

Now use the sum-product method. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so

3x² - 3x - 90 = 3 (x + 5) (x - 6)

f) Same as in (e), use the sum-product method. Notice that 42 = 7 • 6, and -7 - 6 = -13, so

x² - 13x + 42 = (x - 7) (x - 6)

8 0

1 year ago

Read 2 more answers

A stock worth $42 at the beginning of the day. The stock depreciates 15% every hour. How much will the stock be worth after 7 ho

liubo4ka [24]

Answer:

14.46

Step-by-step explanation:

first hour: 35.7

2 hour: 30.34

3 hour: 25.79

4 hour: 21.93

5 hour: 18.64

6 hour:15.85

7 hour:14.46

7 0

2 years ago

Graph the line given by 2x+y=1 and the circle given by x²+y²=10.Find all solutions to the system of equations. Verify your resul

Aleksandr-060686 [28]

Answer:

(1.8, -2.6) and (-1, 3)

Step-by-step explanation:

$2x+y=1$

$x^2+y^2=10$

From the first equation

$y=1-2x$

Applying to the second equation

$x^2+(1-2x)^2=10\\\Rightarrow x^2+1+4x^2-4x=10\\\Rightarrow 5x^2-4x-8=0$

Solving the equation we get

$x=\frac{-\left(-4\right)+\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}, \frac{-\left(-4\right)-\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}\\\Rightarrow x=1.8, -1$

At x = 1.8

Applying in first equation

$2\times 1.8+y=1\\\Rightarrow y=1-3.6\\\Rightarrow y=-2.6$

At x = -1

Applying in first equation

$2\times -1+y=1\\\Rightarrow y=1+2\\\Rightarrow y=3$

∴ The circle and line intersect at points (1.8, -2.6) and (-1, 3)

3 0

2 years ago

Aflați suma numerelor întregi cuprinse între -200 si 198

sattari [20]

Can you please provide us with english translation..

thanx

3 0

3 years ago

6x - 2y = 13 2х + Зу = -3

miv72 [106K]

Answer:

6x-2y=13 is x= $\frac{2y+13}{6}$ solved for x

6x-2y=13 is y= $-\frac{-6x+13}{2}$ solved for y

2x+3y=-3 is x = $\frac{3(-y-1)}{2}$ solved for x

2x +3y=-3 is y= $-\frac{2x+3}{3}$ solved for y

Step-by-step explanation:

8 0

2 years ago