What is the inverse of f(x)=2x^2-12x+13 ?

The inverse of f(x)=2x^2-12x+13 is (12+sqrt(8x+40))/4 ,(12-sqrt(8x+40))/4

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inverse of f(x)=2x^2-12x+13

inverse

f (x) = 2 x^{2} - 12 x + 13

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

Solution steps

y = 2 x^{2} - 12 x + 13

Replace

x

with

y

x = 2 y^{2} - 12 y + 13

Solve for

y, x = 2 y^{2} - 12 y + 13

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

h (x) = \frac{1 + 2 x}{7 + x}

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

f (x) = 100

f (x) = - 5 x^{2} - 9, x \geq 0

f (x) = x^{2} - 16 x + 4

What is the inverse of f(x)=2x^2-12x+13 ?
The inverse of f(x)=2x^2-12x+13 is (12+sqrt(8x+40))/4 ,(12-sqrt(8x+40))/4