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Question

Let f(x)=x,g(x)=1x and h(x)=f(x) g(x). Then, h(x)=1 for



Your Answer
A

xϵQ

Your Answer
B

xϵQ

Your Answer
C

xϵRQ

Correct Answer
D

xϵR, xQ


Solution

The correct option is C

xϵR, xQ


Given:
f(x)=x,g(x)=1x and h(x)=f(x) g(x)
Now,
h(x)=x×1x=1
We observe that the domain of f is R and the domain of g is R - {0}
Domain of h = Domain of f Domain of g =R[R{0}]=R{0}xϵR,x0

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