What is the inverse of f(x)=62.5x-312.5x^2-21/8 ?

The inverse of f(x)=62.5x-312.5x^2-21/8 is -(-5+2sqrt(-2x+1))/(50),(2sqrt(-2x+1)+5)/(50)

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inverse of f(x)=62.5x-312.5x^2-21/8

inverse

f (x) = 62.5 x - 312.5 x^{2} - \frac{21}{8}

- \frac{- 5 + 2 - 2 x + 1}{50}, \frac{2 - 2 x + 1 + 5}{50}

Solution steps

y = 62.5 x - 312.5 x^{2} - \frac{21}{8}

Replace

x

with

y

x = 62.5 y - 312.5 y^{2} - \frac{21}{8}

Solve for

y, x = 62.5 y - 312.5 y^{2} - \frac{21}{8}

- \frac{- 5 + 2 - 2 x + 1}{50}, \frac{2 - 2 x + 1 + 5}{50}

\frac{7 x}{x - 2}

f (x) = tanh (x)

10 x^{\frac{1}{5}} - 2

What is the inverse of f(x)=62.5x-312.5x^2-21/8 ?
The inverse of f(x)=62.5x-312.5x^2-21/8 is -(-5+2sqrt(-2x+1))/(50),(2sqrt(-2x+1)+5)/(50)