What is the inverse of f(x)=-(0.009(x-220)^2-220) ?

The inverse of f(x)=-(0.009(x-220)^2-220) is sqrt((-x+220)/(0.009))+220,-sqrt((-x+220)/(0.009))+220

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inverse of f(x)=-(0.009(x-220)^2-220)

inverse

f (x) = - (0.009 (x - 220)^{2} - 220)

\frac{- x + 220}{0.009} + 220, - \frac{- x + 220}{0.009} + 220

Solution steps

y = - (0.009 (x - 220)^{2} - 220)

Replace

x

with

y

x = - (0.009 (y - 220)^{2} - 220)

Solve for

y, x = - (0.009 (y - 220)^{2} - 220)

\frac{- x + 220}{0.009} + 220, - \frac{- x + 220}{0.009} + 220

(4, - 1), (- 1, - 4)

f (x) = \frac{2}{x ^{2}}

f (x) = \frac{x ^{2}}{( x - 1 ) ^{2}}

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

f (x) = - 2

What is the inverse of f(x)=-(0.009(x-220)^2-220) ?
The inverse of f(x)=-(0.009(x-220)^2-220) is sqrt((-x+220)/(0.009))+220,-sqrt((-x+220)/(0.009))+220