What is the inverse of f(x)=2x^2-5x+6 ?

The inverse of f(x)=2x^2-5x+6 is (5+sqrt(8x-23))/4 ,(5-sqrt(8x-23))/4

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inverse of f(x)=2x^2-5x+6

inverse

f (x) = 2 x^{2} - 5 x + 6

\frac{5 + 8 x - 23}{4}, \frac{5 - 8 x - 23}{4}

Solution steps

y = 2 x^{2} - 5 x + 6

Replace

x

with

y

x = 2 y^{2} - 5 y + 6

Solve for

y, x = 2 y^{2} - 5 y + 6

\frac{5 + 8 x - 23}{4}, \frac{5 - 8 x - 23}{4}

f (x) = x^{2} - 121

4 x + 3

f (x) = - 3 x^{2} + 24 x

f (x) = 3 x + sin (3 x)

f (x) = \frac{x ^{2} + 1}{x + 1}

What is the inverse of f(x)=2x^2-5x+6 ?
The inverse of f(x)=2x^2-5x+6 is (5+sqrt(8x-23))/4 ,(5-sqrt(8x-23))/4