What is the inverse of y=x^2-5x+6 ?

The inverse of y=x^2-5x+6 is (5+sqrt(4x+1))/2 ,(5-sqrt(4x+1))/2

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inverse of y=x^2-5x+6

inverse

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

\frac{5 + 4 x + 1}{2}, \frac{5 - 4 x + 1}{2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{5 + 4 x + 1}{2}, \frac{5 - 4 x + 1}{2}

f (x) = 5 x^{3} - 3 x^{5}

f (x) = x^{2} + 20 x + 100

f (x) = x^{2} - 6 x + 8

x^{2} + 8 x + 10

f (x) = 250 x - \frac{π x ^{3}}{2}

What is the inverse of y=x^2-5x+6 ?
The inverse of y=x^2-5x+6 is (5+sqrt(4x+1))/2 ,(5-sqrt(4x+1))/2