What is the inverse of f(x)=x-((x^2)/(12)) ?

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

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inverse of f(x)=x-((x^2)/(12))

inverse

f (x) = x - (\frac{x ^{2}}{12})

- \frac{- 12 + 144 - 48 x}{2}, - \frac{- 12 - 144 - 48 x}{2}

Solution steps

y = x - \frac{x ^{2}}{12}

Replace

x

with

y

x = y - \frac{y ^{2}}{12}

Solve for

y, x = y - \frac{y ^{2}}{12}

- \frac{- 12 + 144 - 48 x}{2}, - \frac{- 12 - 144 - 48 x}{2}

f (x) = \frac{x + 1}{1 - x}

ln (\frac{2 x - 1}{3 x + 1}) + 2

f (x) = \frac{1}{5} (x + 7)

\frac{3 x + 3}{2 x - 4}

f (x) = 3 x + 12

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