已知函数f(x)=a的x+2的次方-1(a>0,且a不等于1）的反函数为f的负1次方(x)

1)y=a^(x+2)-1 ∴y+1=a^(x+2) ∴x+2=log(a)(y+1) ∴x=log(a)(y+1)-2 f^(-1)(x)=log(a)(x+1)-2 2) a>1时,f^(-1)(x)在[0,1]上单调增,最大值为f^(-1)(1)=log(a)2-2,最小值为f^(-1)(0)=log(a)1-2=0-2=-2 ∴log(a)2-2-(-2...