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

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

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

inverse

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

- x + 2, - - x + 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

- x + 2, - - x + 2

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

f (x) = 3^{2 x} - 4

\frac{1}{2} x^{3} + \frac{1}{2}

f (x) = \frac{- 7 x + 3}{3 x - 7}

- x - 5

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