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,

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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,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,化简f(x)=(X2

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,
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,

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,
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)

x2-1=(x+1)(x-1)
f(x)=[(x+1)(x-1)/16]/[(x-1)/4]
=(x+1)/4

f(x)=[(x+1/4)(x-1/4)]/｜x-1/4｜
1、当，x<1/4 时，f(x)=[(x+1/4)(x-1/4)]/[-(x-1/4)]=-x-1/4
2、当，x>1/4 时，f(x)=[(x+1/4)(x-1/4)]/(x-1/4)=x+1/4

f(x)=(X2-1/16)/Ⅰx-1/4Ⅰ
=[（x+1/4)(x-1/4)]/Ix-1/4I
当x＞1/4时，f(x)=[（x+1/4)(x-1/4)]/(x-1/4)=x+1/4
当x＜1/4时，f(x)=[（x+1/4)(x-1/4)]/[-(x-1/4)]=-x-1/4

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