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

The inverse of f(x)=x^2+6x-6 is -3+sqrt(x+15),-sqrt(x+15)-3

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

inverse

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

- 3 + x + 15, - x + 15 - 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 + 15, - x + 15 - 3

x + 2 - 2

(0, 2), (8, 8)

f (x) = - 6 x^{2} - 4 x - 5

\frac{- 4 x - 6}{3 x - 2}

f (x) = ln (3 - 7 x)

What is the inverse of f(x)=x^2+6x-6 ?
The inverse of f(x)=x^2+6x-6 is -3+sqrt(x+15),-sqrt(x+15)-3