求反函数 sqrt(x^2-2x+3)

解答

求反函数

x^{2} - 2 x + 3

1 + x^{2} - 2, 1 - x^{2} - 2

求解步骤

y = x^{2} - 2 x + 3

用

y

替代

x

x = y^{2} - 2 y + 3

求解

y, x = y^{2} - 2 y + 3

1 + x^{2} - 2, 1 - x^{2} - 2

in v erse - x

in v erse f (x) = \frac{3}{4} - x

in v erse f (x) = \frac{1}{( 2 x - 1 ) - 1}

in v erse f (x) = 3 x - 1 + 4

in v erse f (x) = \frac{1}{x ( x - 2 )}