What is the inverse of f(x)=2x^2-6x+13 ?

The inverse of f(x)=2x^2-6x+13 is (3+sqrt(2x-17))/2 ,(3-sqrt(2x-17))/2

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inverse of f(x)=2x^2-6x+13

inverse

f (x) = 2 x^{2} - 6 x + 13

\frac{3 + 2 x - 17}{2}, \frac{3 - 2 x - 17}{2}

Solution steps

y = 2 x^{2} - 6 x + 13

Replace

x

with

y

x = 2 y^{2} - 6 y + 13

Solve for

y, x = 2 y^{2} - 6 y + 13

\frac{3 + 2 x - 17}{2}, \frac{3 - 2 x - 17}{2}

What is the inverse of f(x)=2x^2-6x+13 ?
The inverse of f(x)=2x^2-6x+13 is (3+sqrt(2x-17))/2 ,(3-sqrt(2x-17))/2