What is the inverse of f(x)=-3(x-1)^2 ?

The inverse of f(x)=-3(x-1)^2 is sqrt(-x/3)+1,-sqrt(-x/3)+1

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inverse of f(x)=-3(x-1)^2

inverse

f (x) = - 3 (x - 1)^{2}

- \frac{x}{3} + 1, - - \frac{x}{3} + 1

Solution steps

y = - 3 (x - 1)^{2}

Replace

x

with

y

x = - 3 (y - 1)^{2}

Solve for

y, x = - 3 (y - 1)^{2}

- \frac{x}{3} + 1, - - \frac{x}{3} + 1

f (x) = - 4 x - \frac{2}{3}

5 - 3 x

\frac{x - 5}{2}

(x - 3)^{2} - 2

- \frac{1}{1 - x}

What is the inverse of f(x)=-3(x-1)^2 ?
The inverse of f(x)=-3(x-1)^2 is sqrt(-x/3)+1,-sqrt(-x/3)+1