What is the inverse of f(x)=600(1-x)^2 ?

The inverse of f(x)=600(1-x)^2 is -(sqrt(6)sqrt(x)-60)/(60),-(-sqrt(6)sqrt(x)-60)/(60)

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inverse of f(x)=600(1-x)^2

inverse

f (x) = 600 (1 - x)^{2}

- \frac{6 x - 60}{60}, - \frac{- 6 x - 60}{60}

Solution steps

y = 600 (1 - x)^{2}

Replace

x

with

y

x = 600 (1 - y)^{2}

Solve for

y, x = 600 (1 - y)^{2}

- \frac{6 x - 60}{60}, - \frac{- 6 x - 60}{60}

What is the inverse of f(x)=600(1-x)^2 ?
The inverse of f(x)=600(1-x)^2 is -(sqrt(6)sqrt(x)-60)/(60),-(-sqrt(6)sqrt(x)-60)/(60)