All categories

3 years ago

F(x) =x^2-4x+2 and g(x) =3x-7 find (fog)(x)

Mathematics

2 answers:

fgiga [73]3 years ago

7 0

Answer:

9x² - 54x + 79

Step-by-step explanation:

To find (f ￮ g)(x) substitute x = g(x) into f(x), that is

f(g(x))

= f(3x - 7)

= (3x - 7)² - 4(3x - 7) + 2 ← expand factor using FOIL

= 9x² - 42x + 49 - 12x + 28 + 2 ← collect like terms

= 9x² - 54x + 79

sergejj [24]3 years ago

3 0

Answer:

Step-by-step explanation:

hello :

F(x) =x²-4x+2 and g(x) =3x-7

(fog)(x)=f(g(x))=f(3x-7) = (3x-7)²-4(3x-7)+2

(fog)(x)= 9x²-42x+49-12x+28+2

in standard form : (fog)(x)= 9x²-54x+79

You might be interested in

. The mean width of 12 iPads is 5.1 inches. The mean width of 8 Kindles is 4.8 inches. a. What is the total width of the iPads?

UkoKoshka [18]

Answer:

a) 61.2, b) 38.4 and c) 4.98

Step-by-step explanation:

Given:

The mean width of 12 I-Pads is 5.1 inches.

The mean width of 8 Kindles is 4.8 inches.

Question asked:

a. What is the total width of the I-Pads?

b. What is the total width of the Kindles?

c. What is the mean width of the 12 I-Pads and 8 Kindles?

Solution:

<u /> $Mean =\frac{Sum\ of\ observations}{Number\ of\ observations}\\ \\ Mean\ width =\frac{Sum\ of\ width\ of\ all \ I-pad}{Number \ of\ I-pad}$

$5.1=\frac{Sum\ of\ width\ of\ all\ I-pad}{12} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all\ I-pad}=5.1\times1 2\\ \\ Sum\ of\ width\ of\ all\ I-pad}= 61.2$

a) Thus, the total width of the I-Pads are 61.2 inches.

$Mean\ width =\frac{Sum\ of\ width\ of\ all\ Kindles}{Number \ of\ Kindles}$

$4.8=\frac{Sum\ of\ width\ of\ all\Kindles}{8} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all \ Kindles=4.8\times8\\ \\ Sum\ of\ width\ of \ all\ Kindles}=38.4$

b) Thus, total width of the Kindles are 38.4 inches.

Combined width of both I-pad and Kindles = 61.2 + 38.4 = 99.6 inches

Combined number of observations = 12 + 8 =20

Combined mean of width of the 12 I-Pads and 8 Kindles = Combined width of both I-pad and Kindles $\div$ Combined number of observations

Combined mean of width of the 12 I-Pads and 8 Kindles = $\frac{99.6}{20} =4.98\ inches$

c) Thus, the mean width of the 12 I-Pads and 8 Kindles is 4.98 inches.

5 0

3 years ago

If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.

Anestetic [448]

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

2x^3 - 2x^2

===========

-12x^2 + 28x

-12x^2 +12x

==========

26x -26

26x - 26

========

Now you can factor 2x^2 - 12x + 26

2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

=============

x = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

3 +/- 2i

8 0

3 years ago

Billy likes to go cycling

schepotkina [342]

I think that the answer is 0.9

5 0

3 years ago

Read 2 more answers

Do Now-Find the size of a flat-screen tv given the length and

nika2105 [10]

500 area
90 perimeter

7 0

3 years ago

Read 2 more answers

A student had taken 7 tests and received scores of 88, 73, 81, 83, 79, 73, and 97.

Elden [556K]

Answer:

median=81

mode=73

range=24

Step-by-step explanation:

median: Middle number from lowest to highest crossing one-off from either side.

(73,73,79,81,88,97)

mode:most popular number.

range: highest number minus lowest number.

8 0

3 years ago

F(x) =x^2-4x+2 and g(x) =3x-7 find (fog)(x)​

F(x) =x^2-4x+2 and g(x) =3x-7 find (fog)(x)