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Question

Mathematics Question on Relations and functions

A= the domain off where f(x)=logx2f(x) = \log \, x^2 and BB = the domain of g where g(x)=2logxg(x) = 2 \log \: x, then AB=A-B =

A

ϕ \phi

B

(,0)( - \infty , 0)

C

(0,)( 0 , \infty )

D

(0,1)

Answer

(,0)( - \infty , 0)

Explanation

Solution

Domain of f=(,0)(0,),f = ( - \infty , 0) \cup ( 0, \infty) , domain of g=(0,)g = ( 0, \infty)