tytianab1000 tytianab1000

22-08-2017
Mathematics

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

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mreijepatmat mreijepatmat

22-08-2017

y = x² + 4x +4 which nothing but (x+2)².
Then y = (x+2)²
To find the inverse f⁻¹(x), follow the steps:

Just replace y with x and x with y

x = (y +2)²
OR
√x =√(y +2)² → √x = y+2 and y = √x - 2

So f⁻¹(x) = -2+√x

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