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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

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Step-by-step explanation:

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Find the sum using the formulas for the sums of powers of integers ( problem attached )
Natasha2012 [34]

Correct Answer: - 550

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The equation editor does not have a summation symbol, so I have attached the solution using the image.

The correct answer to this question is -550. First option is the correct one.

7 0
3 years ago
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Step-by-step explanation:

4 0
3 years ago
The vertices of figure BCDE have coordinates B(4, 4), C(−4, 4), D(−4, −4), and E(4, −4). The vertices of figure BꞌCꞌDꞌEꞌ have co
nikdorinn [45]
C.) A <span>dilation with a scale factor of 4, with center of dilation at the origin

Here, You can either draw the figure or compare the coordinates, 
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C = (-4, 4) then C' = (-1, 1)
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4 0
3 years ago
A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the n
Aleonysh [2.5K]

Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

Here we have that the formula for population presented as follows;

A = P(1+r)^t

Where:

A = Population after growth

P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

A = 3400 \times (1+0.05)^{17} = 7792.86

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.

6 0
3 years ago
Read 2 more answers
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