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

The inverse of f(x)=-6sqrt(6x^2)+2 is (sqrt(6)(x-2))/(36),-(sqrt(6)(x-2))/(36)

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

inverse

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

\frac{6 ( x - 2 )}{36}, - \frac{6 ( x - 2 )}{36}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{6 ( x - 2 )}{36}, - \frac{6 ( x - 2 )}{36}

f (x) = 36 - 9 x^{2}

(- 3, - 6), (1, 4)

- 2 x^{2} + 2 x - 4

3 x^{2} - 14 x + 15

(x - 4)^{2} = 24 (y + 3)

What is the inverse of f(x)=-6sqrt(6x^2)+2 ?
The inverse of f(x)=-6sqrt(6x^2)+2 is (sqrt(6)(x-2))/(36),-(sqrt(6)(x-2))/(36)