What is the inverse of f(x)=2x^2-12x+23 ?

The inverse of f(x)=2x^2-12x+23 is (12+sqrt(8x-40))/4 ,(12-sqrt(8x-40))/4

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inverse of f(x)=2x^2-12x+23

inverse

f (x) = 2 x^{2} - 12 x + 23

\frac{12 + 8 x - 40}{4}, \frac{12 - 8 x - 40}{4}

Solution steps

y = 2 x^{2} - 12 x + 23

Replace

x

with

y

x = 2 y^{2} - 12 y + 23

Solve for

y, x = 2 y^{2} - 12 y + 23

\frac{12 + 8 x - 40}{4}, \frac{12 - 8 x - 40}{4}

y^{2} - 3 y

f (x) = 6 - 5 x

f (x) = \frac{x ^{2} + 3}{x + 3}

f (x) = 16

f (x) = \frac{2 - x ^{2}}{x ^{2} + 4 x - 32}

What is the inverse of f(x)=2x^2-12x+23 ?
The inverse of f(x)=2x^2-12x+23 is (12+sqrt(8x-40))/4 ,(12-sqrt(8x-40))/4