What is the inverse of 3x^2+12x-7 ?

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

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inverse of 3x^2+12x-7

inverse

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}

y = \frac{x + 28}{x - 7}

1 + + (- 1)

y = \frac{5}{x ^{2} + 1}

f (x) = 9 x - 7 + 14

f (x) = \frac{x}{5} + 6

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