设函数f(x)与g(x)分别满足f(x+1/2)=log1/2 (x-9/4)和g(x)=log1/2 (x-1)-1 (1)求函数f(x)的表达式; (2)若f(x)>g(x),求x的取值范围.急 ··

问题描述:

设函数f(x)与g(x)分别满足f(x+1/2)=log1/2 (x-9/4)和g(x)=log1/2 (x-1)-1 (1)求函数f(x)的表达式; (2)若f(x)>g(x),求x的取值范围.急 ··

f(x+1/2)=log1/2 (x-9/4) f(x+1/2)=log1/2 {(x-3/2)(x+3/2)} 令t=x+1/2则f(t)=log1/2 {(t-5/2)(t+1/2)} (x-5/2)(x+1/2)