What is the inverse of f(x)=2x^2-8x+11 ?

The inverse of f(x)=2x^2-8x+11 is (8+sqrt(8x-24))/4 ,(8-sqrt(8x-24))/4

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inverse of f(x)=2x^2-8x+11

inverse

f (x) = 2 x^{2} - 8 x + 11

\frac{8 + 8 x - 24}{4}, \frac{8 - 8 x - 24}{4}

Solution steps

y = 2 x^{2} - 8 x + 11

Replace

x

with

y

x = 2 y^{2} - 8 y + 11

Solve for

y, x = 2 y^{2} - 8 y + 11

\frac{8 + 8 x - 24}{4}, \frac{8 - 8 x - 24}{4}

f (x) = \frac{e ^{x} - 4}{3 - e ^{x}}

f (x) = \frac{x + 2}{1 + x}

- cos (2 x)

f (x) = - 2 x^{7} - 2

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

What is the inverse of f(x)=2x^2-8x+11 ?
The inverse of f(x)=2x^2-8x+11 is (8+sqrt(8x-24))/4 ,(8-sqrt(8x-24))/4