Questions
The domain of definition of the function
a
(−3,−2) excluding −2.5
b
[0,1] excluding 0.5
c
[−2,1) excluding 0
d
None of these
detailed solution
Correct option is C
y=1log10(1−x)+x−2y=f(x)+g(x) Then, the domain of given function is Df∩Dg . Now, for the domain of f(x)=1log10(1−x) , we know it is defined only when 1−x>0 and 1−x≠1 or x<1 and x≠0. Therefore, Df=(−∞,1)−{0} . For the domain of g(x)=x+2 , x+2≥0 or x≥−2∴Dg=[−2,∞) Therefore, common domain is [−2,1)−{0} .Talk to our academic expert!
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