What is the inverse of f(x)=3x^2+30x+12 ?

The inverse of f(x)=3x^2+30x+12 is (-30+sqrt(12x+756))/6 ,(-30-sqrt(12x+756))/6

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inverse of f(x)=3x^2+30x+12

inverse

f (x) = 3 x^{2} + 30 x + 12

\frac{- 30 + 12 x + 756}{6}, \frac{- 30 - 12 x + 756}{6}

Solution steps

y = 3 x^{2} + 30 x + 12

Replace

x

with

y

x = 3 y^{2} + 30 y + 12

Solve for

y, x = 3 y^{2} + 30 y + 12

\frac{- 30 + 12 x + 756}{6}, \frac{- 30 - 12 x + 756}{6}

x^{2} + 12 x

y = \frac{1}{2} (e^{x} + e^{- x})

f (x) = \frac{x + 6}{4}

3 (2^{4 x - 5})

lo g_{2} (3 x + 4) - 5

What is the inverse of f(x)=3x^2+30x+12 ?
The inverse of f(x)=3x^2+30x+12 is (-30+sqrt(12x+756))/6 ,(-30-sqrt(12x+756))/6