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sineoko [7]
3 years ago
12

The function g(x) is the inverse of the function f (x) = (x + 1)2 + 2, when x < -1

Mathematics
1 answer:
kondaur [170]3 years ago
3 0

9514 1404 393

Answer:

  g(x) = -√(x -2) -1

Step-by-step explanation:

We note the domain of f(x) is x ≤ -1. The is the range of the function g(x).

The inverse function is the solution to ...

  x = f(y)

  x = (y +1)² +2

  x -2 = (y +1)²

  -√(x -2) = y +1 . . . . . . . we are interested only in the negative values

  y = -√(x -2) -1

The inverse function is ...

  g(x) = -√(x -2) -1

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Please help with geometry homework !!!
Umnica [9.8K]

You can solve this with next proportion =>

3 : 5 = 4 : x => 3x= 5*4 => 3x = 20 => x=20/3 = 6 (2/3)

The correct answer is  x= 6 (2/3)

Good luck!!!

5 0
3 years ago
In a group of equal number of men and women 10% men and 45% women are suffering from Malaria.What is probability a peraon select
Kaylis [27]

Answer:

The probability a person selected random is not suffering from Malaria  is 0.725.

Step-by-step explanation:

Denote the events as follows:

X = a person is suffering from Malaria

M = a man

W = a woman

The information provided is:

P (M) = P (W) = 0.50

P (X|M) = 0.10

P (X|W) = 0.45

Compute the probability a person selected random is suffering from Malaria as follows:

P(X)=P(X|M)P(M)+P(X|W)P(W)

         =(0.10\times 0.50)+(0.45\times 0.50)\\\\=0.05+0.225\\\\=0.275

Then the probability a person selected random is not suffering from Malaria  is:

P (X') = 1 - P (X)

         = 1 - 0.275

         = 0.725

4 0
3 years ago
If 6 cans of soup cost $1.50, how much will 9 cans cost?
Step2247 [10]

If 6 cans of soup cost $1.50

9 cans cost .......................x?

x = 9 * 1.50 / 6

x = 2.25

Answer

9 cans cost $2.25

3 0
3 years ago
Assume that y varies directly as x then solve. If x = 12 <br> when y = 15 find x when y = 21.
Viefleur [7K]

Answer:

18

Step-by-step explanation:

12 and 15 are both dividable by 3 and 3 apart so if you subtract 21 by 3 than you get 18

7 0
2 years ago
Read 2 more answers
Help gai I need help its a math
dem82 [27]

Answer:

B

Step-by-step explanation:

Rewriting in slope-intercept form.

x - 2y = 0

Add -x on both sides.

- 2y = 0 - x

Divide both sides by -2.

y = 0/-2 - x/-2

y = 0 - - 1/2x

y = 0 + 1/2x

y = 1/2x + 0

The slope is 1/2, the y-intercept is at (0, 0).

6 0
2 years ago
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