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

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

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

inverse

f (x) = 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}

5 x^{2} - 2 y^{2} = 4

f (x) = \frac{x + 1}{x + 8}

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

f (x) = 2 x^{5} + 16 x^{4} - 6 x^{3} - 48 x^{2}

f (x) = \frac{x + sin ( x π )}{x + 1}

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