What is the inverse of 48x-4x^2 ?

The inverse of 48x-4x^2 is -(-12+sqrt(-x+144))/2 ,(sqrt(-x+144)+12)/2

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inverse of 48x-4x^2

inverse

48 x - 4 x^{2}

- \frac{- 12 + - x + 144}{2}, \frac{- x + 144 + 12}{2}

Solution steps

y = 48 x - 4 x^{2}

Replace

x

with

y

x = 48 y - 4 y^{2}

Solve for

y, x = 48 y - 4 y^{2}

- \frac{- 12 + - x + 144}{2}, \frac{- x + 144 + 12}{2}

f (x) = \frac{5 x - 4}{9 x + 8}

f (x) = 3 x^{2} - 12 x + 3

f (x) = x + \frac{10}{3}

f (x) = \frac{x + 3}{4 x - 2}

f (x) = \frac{1}{4} x - \frac{3}{4}

What is the inverse of 48x-4x^2 ?
The inverse of 48x-4x^2 is -(-12+sqrt(-x+144))/2 ,(sqrt(-x+144)+12)/2