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

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

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

inverse

f (x) = x (2 x + 500)

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

Solution steps

y = x (2 x + 500)

Replace

x

with

y

x = y (2 y + 500)

Solve for

y, x = y (2 y + 500)

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

F (x) = 3 x + 10

\frac{1}{z - 0.5}

4 + 5 x^{\frac{2}{3}}

y = e^{2 x}

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

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