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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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Pavlova-9 [17]
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Y intercept of points (3,5) and (7,8)
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Step-by-step explanation:

6 0
4 years ago
Select all the correct answers. Which two inequalities can be used to find the solution to this absolute value inequality? 3|x +
ziro4ka [17]

The absolute value inequality can be decomposed into two simpler ones.

x < 0

x > -8

<h3></h3><h3>Which two inequalities can be used?</h3>

Here we start with the inequality:

3|x + 4| - 5 < 7

First we need to isolate the absolute value part:

3|x + 4| < 7 + 5

|x + 4| < (7 + 5)/3

|x + 4| < 12/3

|x + 4| < 4

The absolute value inequality can now be decomposed into two simpler ones:

x + 4 < 4

x + 4 > - 4

Solving both of these we get:

x < 4 - 4

x > -4 - 4

x < 0

x > -8

These are the two inequalities.

Learn more about inequalities:

brainly.com/question/24372553

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6 0
1 year ago
Pls help I dont understand this
s2008m [1.1K]

Answer:

D

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Please help! I'll give out the brainiest!
gavmur [86]
To find the solution
-4x>36
divide both sides by -4
(REMEMBER WHEN YOU DIVIDE BY A NEGATIVE, THE SIGN FLIPS OVER)
x < -36/4
simplified
x < -9

Hope this helps :)
6 0
3 years ago
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