What is the inverse of f(x)=x(500-2x) ?

The inverse of f(x)=x(500-2x) is -(-500+sqrt(250000-8x))/4 ,-(-500-sqrt(250000-8x))/4

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inverse of f(x)=x(500-2x)

inverse

f (x) = x (500 - 2 x)

- \frac{- 500 + 250000 - 8 x}{4}, - \frac{- 500 - 250000 - 8 x}{4}

Solution steps

y = x (500 - 2 x)

Replace

x

with

y

x = y (500 - 2 y)

Solve for

y, x = y (500 - 2 y)

- \frac{- 500 + 250000 - 8 x}{4}, - \frac{- 500 - 250000 - 8 x}{4}

f (x) = \frac{( x - 2 )}{( x + 7 )}

f (x) = 100 (4 - 4 y)

f (x) = (x - 20)^{2}

f (x) = x^{21}

f (x) = \frac{18}{x} - 9

What is the inverse of f(x)=x(500-2x) ?
The inverse of f(x)=x(500-2x) is -(-500+sqrt(250000-8x))/4 ,-(-500-sqrt(250000-8x))/4