定义域 f(x)= 1/(4x^2-4x-3)

解答

定义域

f (x) = \frac{1}{4 x ^{2} - 4 x - 3}

x < - \frac{1}{2} or - \frac{1}{2} < x < \frac{3}{2} or x > \frac{3}{2}

间隔符号

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

求解步骤

找到无定义的点（奇点）:

x = \frac{3}{2}, x = - \frac{1}{2}

函数定义域

x < - \frac{1}{2} or - \frac{1}{2} < x < \frac{3}{2} or x > \frac{3}{2}

mi d p o in t (3, 0), (1, - 10)

l in e (2, 9), (21, 18)

in v erse f (x) = \frac{1}{5} x^{2}

in f l ec t i o n (2 - x) e^{x}

r an g e x + 4 + 5 - x