What is the inverse of f(x)=2x^2-8x+10 ?

The inverse of f(x)=2x^2-8x+10 is (8+sqrt(8x-16))/4 ,(8-sqrt(8x-16))/4

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inverse of f(x)=2x^2-8x+10

inverse

f (x) = 2 x^{2} - 8 x + 10

\frac{8 + 8 x - 16}{4}, \frac{8 - 8 x - 16}{4}

Solution steps

y = 2 x^{2} - 8 x + 10

Replace

x

with

y

x = 2 y^{2} - 8 y + 10

Solve for

y, x = 2 y^{2} - 8 y + 10

\frac{8 + 8 x - 16}{4}, \frac{8 - 8 x - 16}{4}

What is the inverse of f(x)=2x^2-8x+10 ?
The inverse of f(x)=2x^2-8x+10 is (8+sqrt(8x-16))/4 ,(8-sqrt(8x-16))/4