What is the inverse of f(x)=2x^2-4x-6 ?

The inverse of f(x)=2x^2-4x-6 is (4+sqrt(8x+64))/4 ,(4-sqrt(8x+64))/4

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inverse of f(x)=2x^2-4x-6

inverse

f (x) = 2 x^{2} - 4 x - 6

\frac{4 + 8 x + 64}{4}, \frac{4 - 8 x + 64}{4}

Solution steps

y = 2 x^{2} - 4 x - 6

Replace

x

with

y

x = 2 y^{2} - 4 y - 6

Solve for

y, x = 2 y^{2} - 4 y - 6

\frac{4 + 8 x + 64}{4}, \frac{4 - 8 x + 64}{4}

5 x^{2} - 2

f (x) = 3 x^{\frac{1}{5}} - 1

f (x) = 4 x - 12

f (x) = (x - 4)^{2}, x \leq 4

f (x) = 2 x + 7

What is the inverse of f(x)=2x^2-4x-6 ?
The inverse of f(x)=2x^2-4x-6 is (4+sqrt(8x+64))/4 ,(4-sqrt(8x+64))/4