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Question

If f(x)=x21x and g(x)=x+2x3, then the domain of f(x)g(x) is

A
R{0,2}
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B
R{2,0,3}
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C
R{1,1,0,2,3}
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D
R{0,3}
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Solution

The correct option is B R{2,0,3}
Given f(x)=x21x, g(x)=x+2x3
Domain of g(x) is R{3}
Domain of f(x) is R{0}
Let h(x)=f(x)g(x)
When g(x)=0, we get
x=2

Hence, the domain of h(x) is R{2,0,3}

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