What is the inverse of f(x)=6x^2+66x+60 ?

The inverse of f(x)=6x^2+66x+60 is (-66+sqrt(24x+2916))/(12),(-66-sqrt(24x+2916))/(12)

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inverse of f(x)=6x^2+66x+60

inverse

f (x) = 6 x^{2} + 66 x + 60

\frac{- 66 + 24 x + 2916}{12}, \frac{- 66 - 24 x + 2916}{12}

Solution steps

y = 6 x^{2} + 66 x + 60

Replace

x

with

y

x = 6 y^{2} + 66 y + 60

Solve for

y, x = 6 y^{2} + 66 y + 60

\frac{- 66 + 24 x + 2916}{12}, \frac{- 66 - 24 x + 2916}{12}

What is the inverse of f(x)=6x^2+66x+60 ?
The inverse of f(x)=6x^2+66x+60 is (-66+sqrt(24x+2916))/(12),(-66-sqrt(24x+2916))/(12)