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Alina [70]
4 years ago
7

Suppose f(x)=6x-2 and g(x)=2x+4). Find each of the following functions.

Mathematics
1 answer:
makvit [3.9K]4 years ago
8 0

a. (f+g)(x) = 8x+2

b. (f-g)(x) = 4x-6

Step-by-step explanation:

Given

f(x) = 6x-2\\and\\g(x)=2x+4

<u>a. (f+g)(x)</u>

(f+g)(x)=f(x)+g(x)\\=6x-2+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2

<u>b. (f-g)(x)</u>

(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6

Hence,

a. (f+g)(x) = 8x+2

b. (f-g)(x) = 4x-6

Keywords: Functions

Learn more about functions at:

  • brainly.com/question/5282516
  • brainly.com/question/5424148

#LearnwithBrainly

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3 years ago
While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but
Sonja [21]

Answer:

24 miles

Step-by-step explanation:

In order to calculate Judy's estimation, we would simply have to multiply the actual distance in kilometers of the tour by the number of miles that Judy believes are in a single mile. This would give us Judy's estimation for how long the tour would be in miles.

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3 years ago
Find equation of the line passing through the given point in parallel to given equation. write your answer in slope intercept fo
denpristay [2]

Answer:

  • 3) y = (7/2)x -12
  • 4) y = 3x -5
  • 7) y = (1/3)x +4/3
  • 8) y = (-4/3)x +8/3

Step-by-step explanation:

In every case, you can ...

  • replace any constant in the equation by 0
  • for point (h, k), replace x with (x-h) and y with (y-k), then simplify
  • solve for y (add the opposite of the y-term; divide by the y-coefficient)

3) -7(x-4) +2(y-2) = 0 ⇒ -7x +2y +24 = 0

... y = (7/2)x -12

4) (y+2) = 3(x-1)

... y = 3x -5

7) -(x+4) +3(y-0) = 0 ⇒ -x +3y -4 = 0

... y = (1/3)x +4/3

8) 4(x-2) +3(y -0) = 0 ⇒ 4x +3y -8 = 0

... y = (-4/3)x +8/3

7 0
3 years ago
Dan's business loses $9 each day. Which equation would be used to show how much money Dan's business has lost in a week? A. -9 ×
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Answer:

C. \: 9 \times 7

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4 years ago
What doexs this equal: 3ab-9ab+7ab
AfilCa [17]

Answer:

I think that it equals 1ab. Because 3ab - 9ab= -6ab + 7ab= 1ab



8 0
3 years ago
Read 2 more answers
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