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

The inverse of f(x)=-6sqrt(6-x^2)+2 is sqrt(-(-212+x^2-4x)/(36)),-sqrt(-(-212+x^2-4x)/(36))

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

inverse

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

- \frac{- 212 + x ^{2} - 4 x}{36}, - - \frac{- 212 + x ^{2} - 4 x}{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{- 212 + x ^{2} - 4 x}{36}, - - \frac{- 212 + x ^{2} - 4 x}{36}

(- 1, - 2), (- 2, 3)

y = 2 x^{2} + 4

\frac{5 - 3 x}{2}

6 tan (0.2 x)

f (x) = \frac{3 x - 15}{2 x - 10}

What is the inverse of f(x)=-6sqrt(6-x^2)+2 ?
The inverse of f(x)=-6sqrt(6-x^2)+2 is sqrt(-(-212+x^2-4x)/(36)),-sqrt(-(-212+x^2-4x)/(36))