What is the inverse of f(x)=-1/6 x^2+4x+10 ?

The inverse of f(x)=-1/6 x^2+4x+10 is -(-24+sqrt(-24x+816))/2 ,-(-24-sqrt(-24x+816))/2

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inverse of f(x)=-1/6 x^2+4x+10

inverse

f (x) = - \frac{1}{6} x^{2} + 4 x + 10

- \frac{- 24 + - 24 x + 816}{2}, - \frac{- 24 - - 24 x + 816}{2}

Solution steps

y = - \frac{1}{6} x^{2} + 4 x + 10

Replace

x

with

y

x = - \frac{1}{6} y^{2} + 4 y + 10

Solve for

y, x = - \frac{1}{6} y^{2} + 4 y + 10

- \frac{- 24 + - 24 x + 816}{2}, - \frac{- 24 - - 24 x + 816}{2}

cos (x - 6) + 7

y = \frac{1}{2} (4) + 4

+ 1200 + 500 sin (0.3 t)

f (x) = \frac{4 - x}{3 x + 1}

f (x) = \frac{2 x - 8}{8 x + 4}

What is the inverse of f(x)=-1/6 x^2+4x+10 ?
The inverse of f(x)=-1/6 x^2+4x+10 is -(-24+sqrt(-24x+816))/2 ,-(-24-sqrt(-24x+816))/2