化简f(x)=(X2-1/16)/Ⅰx-1/4Ⅰ麻烦帮我写个详细的步骤,小弟是新手分不多,_数学解答

化简f(x)=(X2-1/16)/Ⅰx-1/4Ⅰ
麻烦帮我写个详细的步骤,小弟是新手分不多,

人气：137 ℃　时间：2020-06-22 05:14:04

解答

f(x) = (X^2-1/16) / | x-1/4|
= (X+1/4)(x-1/4) / | x-1/4|
当x＞1/4时：
= (X+1/4)(x-1/4) / ( x-1/4)
= (x+1/4)
当x＜1/4时：
= (X+1/4)(x-1/4) / {-( x-1/4)}
= - (x+1/4)