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RoseWind [281]
3 years ago
8

Please help me correct answer if you said it correct I will give you brainlist please!​

Mathematics
1 answer:
bagirrra123 [75]3 years ago
5 0

Answer:

five! :DDD

Step-by-step explanation:

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Find the inverse of the function.<br> y=x2 + 4x + 4
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Answer: 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

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IrinaVladis [17]
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