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Dovator [93]
2 years ago
8

(F x G)(x) F(G(x)) G[F(x)] F[G(x)] G(F(x))

Mathematics
1 answer:
pentagon [3]2 years ago
4 0

The results of the composite functions are:

  • (f \times g)(x) = 6x^2-9x
  • f(g(x)) = 6x - 3
  • g(f(x)) = 6x - 9

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

  • f(x) = 2x - 3
  • g(x) = 3x

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

(f \times g)(x) = f(x) \times g(x)

(f \times g)(x) = (2x-3) \times (3x)

(f \times g)(x) = 6x^2-9x

<h3>Function f(g(x))</h3>

We have: f(x) = 2x - 3

This gives

f(g(x)) = 2g(x) - 3

So, we have:

f(g(x)) = 2(3x) - 3

f(g(x)) = 6x - 3

<h3>Function g(f(x))</h3>

We have: g(x) = 3x

This gives

g(f(x)) = 3f(x)

So, we have:

g(f(x)) = 3(2x - 3)

g(f(x)) = 6x - 9

Read more about composite functions at:

brainly.com/question/10687170

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Kay [80]

Answer:

(2,6)

Step-by-step explanation:

y = 2x + 2

Y = 3x

2x+2=3x

2x-3x+2=0

-x+2=0

-x=-2

x=2

y=3(2)=6

                           

7 0
3 years ago
Janine inflated a ball to a radius of 18 cm and another ball to a radius of 12 cm.
Sladkaya [172]
Volume of a ball = (4/3)πr³

When r = 18cm, V = (4/3)×3.14×18³ =24416.64 cm³
When r = 12cm, V = (4/3)×3.14×12³ =7234.56 cm³
 Difference = 24416.64 - 7234.56 = 17182.08 cm³

the volume of air in the larger ball is <span>17182.08 cm³ greater than smaller ball </span>


3 0
3 years ago
Read 2 more answers
4. A triangle with base (2x+2) and height (x-2) is cut out of a rectangular sheet of paper that is (3x+4) by (2x+3) what is the
juin [17]
So what we do is
area that remains=total area-triangle area that was cut out


we need to find 2 things
total area
triangle area

total area=rectange=base times height
area=(3x+4) times (2x+3)
FOIL or distribute
6x^2+8x+9x+12=6x^2+17x+12

triangle area=1/2 times base times height
triangle area=1/2 times (2x+2) times (x-2)=
(x+2) times (x-2)=x^2+2x-2x-4=x^2-4


so
total area=6x^2+17x+12
triangle area=x^2-4

subtract
area that remains=total area-triangle area that was cut out
area that remains=6x^2+17x+12-(x^2-4)=
6x^2+17x+12-x^2+4=
6x^2-x^2+17x+12+4=
5x^2+17x+16


area that remains is 5x^2+17x+16

5 0
3 years ago
If this trapezoid is moved through the translation (x-1,y+1) what will the coordinates of A' be
elena-s [515]

If the traslation is T(x,y)=(x-1,y+1) then:

T(-6,2)=(-6-1,2+1)=(-7,3)

Therefore A'=( -7,3).

6 0
1 year ago
Most of the heat loss for outdoor swimming pools is due to surface
fgiga [73]

Answer:

rectangle

Step-by-step explanation:

Perimeter of 20 feet

rectangle (square is technically a rectangle):

sides 5 and 5

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Circle:

20/(2π) = 3.18309...

3.1809...²π = 31.831ft²

Max area of rectangle (i.e. square) has a smaller area than a circle.

5 0
3 years ago
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