What is the inverse of f(x)=12x-2x^2 ?

The inverse of f(x)=12x-2x^2 is -(-12+sqrt(144-8x))/4 ,-(-12-sqrt(144-8x))/4

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inverse of f(x)=12x-2x^2

inverse

f (x) = 12 x - 2 x^{2}

- \frac{- 12 + 144 - 8 x}{4}, - \frac{- 12 - 144 - 8 x}{4}

Solution steps

y = 12 x - 2 x^{2}

Replace

x

with

y

x = 12 y - 2 y^{2}

Solve for

y, x = 12 y - 2 y^{2}

- \frac{- 12 + 144 - 8 x}{4}, - \frac{- 12 - 144 - 8 x}{4}

3 - x + 4

h (x) = 3 x + 10

f (x) = \frac{x + 5}{8}

\frac{7 x}{8 x - 1}

x^{2} + 2 x

What is the inverse of f(x)=12x-2x^2 ?
The inverse of f(x)=12x-2x^2 is -(-12+sqrt(144-8x))/4 ,-(-12-sqrt(144-8x))/4