If f(x)=x2−1x and g(x)=x+2x−3, 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 BR−{−2,0,3} Given f(x)=x2−1x,g(x)=x+2x−3 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