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

The inverse of f(x)=2x^2-2x-12 is (1+sqrt(2x+25))/2 ,(1-sqrt(2x+25))/2

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

inverse

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

\frac{1 + 2 x + 25}{2}, \frac{1 - 2 x + 25}{2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{1 + 2 x + 25}{2}, \frac{1 - 2 x + 25}{2}

\frac{5 z + 1}{4 z ^{2} + 4 z + 1}

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

40 (x - 1) + 6 + (- 33) (1 - \frac{x}{0.4})^{2}

y = x^{3} - 6

f (x) = 13 - 3 45 - 8

What is the inverse of f(x)=2x^2-2x-12 ?
The inverse of f(x)=2x^2-2x-12 is (1+sqrt(2x+25))/2 ,(1-sqrt(2x+25))/2