What is the inverse of f(x)=30x-5x^2 ?

The inverse of f(x)=30x-5x^2 is -(-30+sqrt(900-20x))/(10),-(-30-sqrt(900-20x))/(10)

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inverse of f(x)=30x-5x^2

inverse

f (x) = 30 x - 5 x^{2}

- \frac{- 30 + 900 - 20 x}{10}, - \frac{- 30 - 900 - 20 x}{10}

Solution steps

y = 30 x - 5 x^{2}

Replace

x

with

y

x = 30 y - 5 y^{2}

Solve for

y, x = 30 y - 5 y^{2}

- \frac{- 30 + 900 - 20 x}{10}, - \frac{- 30 - 900 - 20 x}{10}

\frac{200}{S}

f (x) = ln (4 x - 1) + 2

f (x) = \frac{x + a}{x - 1}

g (x) = 2 x^{2} + 9

f (x) = 2 e^{x} - 5

What is the inverse of f(x)=30x-5x^2 ?
The inverse of f(x)=30x-5x^2 is -(-30+sqrt(900-20x))/(10),-(-30-sqrt(900-20x))/(10)