What is the inverse of f(x)=x^2+6x+6 ?

The inverse of f(x)=x^2+6x+6 is -3+sqrt(x+3),-sqrt(x+3)-3

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inverse of f(x)=x^2+6x+6

inverse

f (x) = x^{2} + 6 x + 6

- 3 + x + 3, - x + 3 - 3

Solution steps

y = x^{2} + 6 x + 6

Replace

x

with

y

x = y^{2} + 6 y + 6

Solve for

y, x = y^{2} + 6 y + 6

- 3 + x + 3, - x + 3 - 3

y = ln (x - 6)

0 = 4 x^{2} - 28 x + 16 y - 31

f (x) = - x^{2} + 4 x

y = - x + 1

f (x) = \frac{5}{3 x + 2}

What is the inverse of f(x)=x^2+6x+6 ?
The inverse of f(x)=x^2+6x+6 is -3+sqrt(x+3),-sqrt(x+3)-3