求反函数 f(x)=-tan(x+7)-4

解答

求反函数

f (x) = - tan (x + 7) - 4

arctan (- 4 - x) - 7

求解步骤

求解

tan (x + 7), y = - tan (x + 7) - 4

tan (x + 7) = - 4 - y

tan (a) = b \Rightarrow a = arctan (b)

x + 7 = arctan (- 4 - y)

求解

x, x + 7 = arctan (- 4 - y)

arctan (- 4 - y) - 7

替代

y = x

arctan (- 4 - x) - 7

in v erse f (x) = - tan (x + 7) - 2

in v erse g (x) = lo g_{2} (x^{2} + 1)

in v erse f (x) = \frac{2 x + 1}{7 x}

in v erse f (x) = (x + 6) 2

in v erse P (t) = \frac{1000}{1 + 9 e ^{- t}}