What is the inverse of y=2x^2-16x+24 ?

The inverse of y=2x^2-16x+24 is (16+sqrt(8x+64))/4 ,(16-sqrt(8x+64))/4

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inverse of y=2x^2-16x+24

inverse

y = 2 x^{2} - 16 x + 24

\frac{16 + 8 x + 64}{4}, \frac{16 - 8 x + 64}{4}

Solution steps

y = 2 x^{2} - 16 x + 24

Replace

x

with

y

x = 2 y^{2} - 16 y + 24

Solve for

y, x = 2 y^{2} - 16 y + 24

\frac{16 + 8 x + 64}{4}, \frac{16 - 8 x + 64}{4}

f (x) = 10 + 2 x - 2

9 + 4 x - 4

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

f (x) = e^{a r c t a n (x^{2} + 1)}

f (x) = \frac{- 4}{2 x + 3}

What is the inverse of y=2x^2-16x+24 ?
The inverse of y=2x^2-16x+24 is (16+sqrt(8x+64))/4 ,(16-sqrt(8x+64))/4