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Question

The domain of the function
f(x)=x2x+2+1x1+x is

A
R
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B
[2,2]
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C
[1,1]
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D
ϕ
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Solution

The correct option is D ϕ
f(x)=x2x+2+1x1x
For f(x) to be defined
x2x+21x1+x0x2,1
(1) x2x+20 (refer image)
Note:
Domain of x2x+2÷0 is D1
domain of
1x1+x0 is D2 here
D1(,2)[2,)
(2) 1x1+x0
x1x+10
Domain of x,D=D1D2=ϕ

1170060_28157_ans_faa9c6d777ed4b799b5fd61d2787d9ae.png

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