What is the inverse of y=3x^2-5x+9 ?

The inverse of y=3x^2-5x+9 is (5+sqrt(12x-83))/6 ,(5-sqrt(12x-83))/6

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inverse of y=3x^2-5x+9

inverse

y = 3 x^{2} - 5 x + 9

\frac{5 + 12 x - 83}{6}, \frac{5 - 12 x - 83}{6}

Solution steps

y = 3 x^{2} - 5 x + 9

Replace

x

with

y

x = 3 y^{2} - 5 y + 9

Solve for

y, x = 3 y^{2} - 5 y + 9

\frac{5 + 12 x - 83}{6}, \frac{5 - 12 x - 83}{6}

f (x) = 7 (x + 4)

y = \frac{6 x - 1}{2 x + 9}

f (x) = \frac{x - 6}{x - 10}

- x^{6} + 5

What is the inverse of y=3x^2-5x+9 ?
The inverse of y=3x^2-5x+9 is (5+sqrt(12x-83))/6 ,(5-sqrt(12x-83))/6