Question

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Answer 1

1)f(x)=log(1/2)(x+2)/(x-1)
(x+2)/(x-1)>0

____+__-2___-__1____+
x€(-oo;-2)U(1;+oo)

2)f(x)=⁴√(x-1)/(x+2)
(x-1)/(x+2)≥0
x€(-oo;-2)U[1;+oo)
3)f(x)=³√(x+2)/(x-1)
(x+2)/(x-1)=€R
x≠-1
x€(-oo;-2]U(1;+oo)

4)f(x)=(1/2)^((x-1)/(x+2)
(x-1)/(x+2)=a€R
(x+2)≠0;x≠-2
x€(-oo;-2)U(-2;+oo)