1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vagabundo [1.1K]
3 years ago
14

Find the inverse of the function. y = x2 + 4x + 4

Mathematics
2 answers:
alex41 [277]3 years ago
7 0
<span>The given function is ⇒⇒⇒  y = x² + 4x + 4
</span>
To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4  ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)²         ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2         ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2   ⇒⇒⇒ the inverse of the given function

So, as a conclusion:
f(x) = y = x² + 4x + 4  ⇒⇒⇒ the given function

f⁻¹(x) = y = √x - 2       ⇒⇒⇒ the inverse of the given function


Sever21 [200]3 years ago
3 0

The answer is the third one

y=+-√x-2

Hopes this helps, and God bless <3

You might be interested in
1131 divided by 29 \
Goshia [24]
Answer:39

Hope it helps :)
8 0
3 years ago
Read 2 more answers
Is this relationship linear, exponential, or neither.<br><br> x -12 -6 0 6<br> y 9 12 20 40
Diano4ka-milaya [45]

Answer:

This appears to be exponential based on the plot of these points

Step-by-step explanation:

See image

5 0
2 years ago
Please help !!!!!!!!!
Kaylis [27]

Answer:

9) JK = 24.5

10) LM = 24.5

11) m∡L = 51°

12) m∡M = 129°

Step-by-step explanation:

in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent

so, ∡K = ∡M and ∡J = ∡L

since ∡'s L and M are adjacent we can add them and set them equal to 180

5z - 6 + 2z - 3 = 180

7z - 9 = 180

7z = 189

z = 27

therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51

Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM

7x = 3x + 14

subtract 3x from each side to get:

4x = 14

x = 14/4 = 3.5

to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5

to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5

6 0
2 years ago
Help me with this please!!
ser-zykov [4K]

Answer:

-1.3

Step-by-step explanation:

The graph shows the straight line passing through the points (3,-1) and (-3,7).

The slope of the line passing through the points (x_1,y_1) and (x_2,y_2) is

\dfrac{y_2-y_1}{x_2-x_1}

In your case, the slope is

\dfrac{7-(-1)}{-3-3}\\ \\=\dfrac{7+1}{-6}\\ \\=-\dfrac{8}{6}\\ \\=-\dfrac{4}{3}\\ \\\approx -1.3

The rate of change is -1.3

8 0
3 years ago
How to do number 3 on the line plot
inessss [21]

its too zoomed in so im not able to see it

8 0
3 years ago
Other questions:
  • Cups of sugar is 3/4, cups of butter is 1/8 what is the number of cups of sugar for each cup of butter
    5·1 answer
  • 10y - 3y = 15 graph using the table of values​
    14·1 answer
  • What is the only natural lake in Texas?
    5·2 answers
  • Write 10/6 as a mixed number in simplest form
    11·2 answers
  • I need help to find this answer this is not making any sense to me please help.
    7·2 answers
  • The Rivera family drove 267.9 miles from their home to Cape Cod, Massachusetts. They used 9.5 gallons of gas. How many miles per
    8·2 answers
  • at the northgate fabric store, there are 5 scrap pieces of cloth. their lengths are 1/2 yrd, 3/10 tard, 5/6 yard, 1/3 yard, and
    15·1 answer
  • To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
    8·2 answers
  • Find the area of the circle with the following dimension Radius = 5 in The area is : in2 (Round to the nearest tenth as needed.)
    13·1 answer
  • How many factors does the following term have? <br><br> 2xy
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!