What is the inverse of f(x)=2x^2-20x+9 ?

The inverse of f(x)=2x^2-20x+9 is (20+sqrt(8x+328))/4 ,(20-sqrt(8x+328))/4

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inverse of f(x)=2x^2-20x+9

inverse

f (x) = 2 x^{2} - 20 x + 9

\frac{20 + 8 x + 328}{4}, \frac{20 - 8 x + 328}{4}

Solution steps

y = 2 x^{2} - 20 x + 9

Replace

x

with

y

x = 2 y^{2} - 20 y + 9

Solve for

y, x = 2 y^{2} - 20 y + 9

\frac{20 + 8 x + 328}{4}, \frac{20 - 8 x + 328}{4}

- 9 - x^{2}

f (x) = - 2.5 - x - 1 + 5

f (x) = \frac{x}{2 x + 8}

f (x) = 3 - x

2 - x + 7

What is the inverse of f(x)=2x^2-20x+9 ?
The inverse of f(x)=2x^2-20x+9 is (20+sqrt(8x+328))/4 ,(20-sqrt(8x+328))/4