What is the inverse of f(x)=((6x-x^2))/(30) ?

The inverse of f(x)=((6x-x^2))/(30) is -(-6+sqrt(36-120x))/2 ,-(-6-sqrt(36-120x))/2

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inverse of f(x)=((6x-x^2))/(30)

inverse

f (x) = \frac{( 6 x - x ^{2} )}{30}

- \frac{- 6 + 36 - 120 x}{2}, - \frac{- 6 - 36 - 120 x}{2}

Solution steps

y = \frac{6 x - x ^{2}}{30}

Replace

x

with

y

x = \frac{6 y - y ^{2}}{30}

Solve for

y, x = \frac{6 y - y ^{2}}{30}

- \frac{- 6 + 36 - 120 x}{2}, - \frac{- 6 - 36 - 120 x}{2}

f (x) = 3.09 x^{2} - 28.27 x + 78.16

\frac{4 x + 2}{- 4 x - 3}

f (x) = 500 - x

f (x) = \frac{3 x - 4}{x + 6}

f (x) = \frac{x + 4}{x + 11}

What is the inverse of f(x)=((6x-x^2))/(30) ?
The inverse of f(x)=((6x-x^2))/(30) is -(-6+sqrt(36-120x))/2 ,-(-6-sqrt(36-120x))/2