What is the inverse of 3x^2+5x-7 ?

The inverse of 3x^2+5x-7 is (-5+sqrt(12x+109))/6 ,(-5-sqrt(12x+109))/6

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inverse of 3x^2+5x-7

inverse

3 x^{2} + 5 x - 7

\frac{- 5 + 12 x + 109}{6}, \frac{- 5 - 12 x + 109}{6}

Solution steps

y = 3 x^{2} + 5 x - 7

Replace

x

with

y

x = 3 y^{2} + 5 y - 7

Solve for

y, x = 3 y^{2} + 5 y - 7

\frac{- 5 + 12 x + 109}{6}, \frac{- 5 - 12 x + 109}{6}

f (x) = \frac{2}{4 x - 3}

(2 x - 3)^{3}

tan (0.57)

lo g_{5} (x) + lo g_{5} (7)

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

What is the inverse of 3x^2+5x-7 ?
The inverse of 3x^2+5x-7 is (-5+sqrt(12x+109))/6 ,(-5-sqrt(12x+109))/6