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
-9(y+3) = 2y+39<br>Simplify your answer as much as possible.​
Viktor [21]

-9y-27=2y+39

Add 9y on both side

-27=11y+39

Sub 39 from each side

-66=11y

y=-6 Ans,,

4 0
3 years ago
Read 2 more answers
What is the answer to this equation
julia-pushkina [17]

Answer:

x = - \frac{494}{3} = - 164\frac{2}{3}

Step-by-step explanation:

75 + \frac{3}{8} x = 13\frac{1}{4}\\\\75 + \frac{3}{8} x = \frac{53}{4}\\\\\frac{3}{8}x = \frac{53}{ 4} - 75\\\\\frac{3}{8}x = \frac{53-300}{4}\\\\\frac{3}{8}x = - \frac{247}{4}\\\\x = -\frac{247 \times 8}{4 \times 3} \\\\x = -\frac{494}{3}

6 0
2 years ago
If the probability of getting an odd number is 5/10 on a game spinner, the numerator of the practice is:
Tom [10]
The numerator is 5 (and the denominator is 10).
4 0
3 years ago
The automatic opening device of a military cargo parachute has been designed to open when the parachute is 200 m above the groun
kirill115 [55]

Step-by-step answer:

Given:

mean, mu = 200 m

standard deviation, sigma = 30 m

sample size, N = 5

Maximum deviation for no damage, D = 100 m

Solution:

Z-score for maximum deviation

= (D-mu)/sigma

= (100-200)/30

= -10/3

From normal distribution tables, the probability of right tail with

Z= - 10/3

is 0.9995709, which represents the probability that the parachute will open at 100m or more.

Thus, by the multiplication rule, the probability that all five parachutes will ALL open at 100m or more is the product of the individual probabilities, i.e.

P(all five safe) = 0.9995709^5 = 0.9978565

So there is an approximately 1-0.9978565 = 0.214% probability that at least one of the five parachutes will open below 100m

6 0
3 years ago
each face of cabinet 413S is in the shape of a rectangle. What is the volume of Model 413S in cubic feet? Dimension are 24 by 72
lbvjy [14]
To calculate a volume of a rectangle prism, a cabinet we only need to multiply the dimensions it has, those are height, width, deep:
v = (24)(72)(18)
v = 31104 in^3
7 0
3 years ago
Other questions:
  • according to analysis by USA TODAY, air flight is so safe that a person would have to fly everyday for more than 64,000 years be
    5·1 answer
  • Mr gartland writes this expression on the board 3/4 \ 2 1/2
    15·2 answers
  • Which expression is equivalent to 4^6 ⋅ 4^−8?
    7·1 answer
  • Solve the system of equations.<br> - 5x + 2y = 9
    5·1 answer
  • Please help with 1-3 thank you!
    6·2 answers
  • (-2,3), (0,1), (2,-4), (3,-1), (2,4) IS IT AN FUNCTION OR NOT
    15·1 answer
  • What is 3333 x 33 x 23 - 908
    10·2 answers
  • Find product of 3/8 × 4​
    8·1 answer
  • Can you Explain your thinking.
    14·1 answer
  • There are 150% more MMs in the regular size bag than the fun size. If there are 6 MMs in the fun size bag, how many are there in
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!