What is the inverse of f(x)=3x^2+5x-7 ?

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

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inverse of f(x)=3x^2+5x-7

inverse

f (x) = 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) = 7 x^{2} + 4 x - 3

5 x + 10

f (x) = 4 - \frac{2}{5} x

f (x) = - 13 x + 52

f (x) = \frac{x ^{2}}{x ^{2} - 9}

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