Question

求助大一高数题 求函数定义域y=arcsin((x-1)/3) 求函数的反函数y=(2^x)/(1+2^x)

Answer 1

(1)-1≤(x-1)/3≤1,
-3≤x-1≤3
-2≤x≤4
(2)y+2^x y=2^x
2^x=y/(1-y)
x=log(2)(y/(1-y))
反函数y=log(2)(x/(1-x))
定义域 0