What is the inverse of f(x)=3x^2+6x+15 ?

The inverse of f(x)=3x^2+6x+15 is (-6+sqrt(12x-144))/6 ,(-6-sqrt(12x-144))/6

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inverse of f(x)=3x^2+6x+15

inverse

f (x) = 3 x^{2} + 6 x + 15

\frac{- 6 + 12 x - 144}{6}, \frac{- 6 - 12 x - 144}{6}

Solution steps

y = 3 x^{2} + 6 x + 15

Replace

x

with

y

x = 3 y^{2} + 6 y + 15

Solve for

y, x = 3 y^{2} + 6 y + 15

\frac{- 6 + 12 x - 144}{6}, \frac{- 6 - 12 x - 144}{6}

What is the inverse of f(x)=3x^2+6x+15 ?
The inverse of f(x)=3x^2+6x+15 is (-6+sqrt(12x-144))/6 ,(-6-sqrt(12x-144))/6