Question

求下列函数的反函数﹙1﹚y＝㏒x﹙x≥1﹚﹙2﹚y＝1／x﹙3﹚y＝﹙3x＋2﹚／﹙2x－1﹚﹙4﹚y＝e^x﹙5﹚y＝

Answer 1

"[]"内为答案

1 底数?

2

y=1/x

x=1/y

习惯写成[y=1/x (x≠0)]

3

y=(3x+2)/(2x-1)

=(3/2)+[7/2(2x-1)]

y≠3/2

x=(2+y)/(2y-3)

[y=(2+x)/(2x-3) (x≠3/2)]

4

y=e^x

x=ln y

[y=lnx (x>0)]

5

y=log2 (x+1)+1

y-1=log2 (x+1)

x=[2^(y-1)]+1

[y=2^(x-1) +1]