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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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What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4? 4
mart [117]
Hello,

P(x)=x^3-7x-6

P(4)=4^3-7*4-6=30
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6 0
3 years ago
Frank had $65. He spent $2 per day for 7 days. Then he was given $9 to divide equally between himself and his 2 brothers. The fo
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Step-by-step explanation:

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2 years ago
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2x2−5x=3

I think the first step would be to

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2x2−5x−3=0

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2x2+−5x+−3=0

Lastly you would

Use quadratic formula with a=2, b=-5, c=-3

I think your answer would then have to be...

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4 0
2 years ago
Read 2 more answers
Help please i need answer ASAP
Juli2301 [7.4K]

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

<h3>Transformation of functions</h3>

Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as

f(x) = x^2

If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

Learn more on translation here: brainly.com/question/12861087

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An equivalent ratio in simplest term is: 3 : 5

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2 years ago
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