What is the inverse of f(x)=3x^2+12x-7 ?

The inverse of f(x)=3x^2+12x-7 is (-12+sqrt(12x+228))/6 ,(-12-sqrt(12x+228))/6

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inverse of f(x)=3x^2+12x-7

inverse

f (x) = 3 x^{2} + 12 x - 7

\frac{- 12 + 12 x + 228}{6}, \frac{- 12 - 12 x + 228}{6}

Solution steps

y = 3 x^{2} + 12 x - 7

Replace

x

with

y

x = 3 y^{2} + 12 y - 7

Solve for

y, x = 3 y^{2} + 12 y - 7

\frac{- 12 + 12 x + 228}{6}, \frac{- 12 - 12 x + 228}{6}

f (x) = 8 x^{(2)} - 18

\frac{1}{2} (x - 4)^{2} + 1

- 3 (x - 1)^{2} + 2

f (x) = \frac{5 x - 2}{3 x + 1}

f (x) = ln (\frac{e ^{x}}{e ^{x} - 1})

What is the inverse of f(x)=3x^2+12x-7 ?
The inverse of f(x)=3x^2+12x-7 is (-12+sqrt(12x+228))/6 ,(-12-sqrt(12x+228))/6