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Q.

If  thefunctionsaredefinedasf(x)=xandg(x)=1x,  thenwhatisthecommondomainofthefollowingfunctions:f+g,fg,fg,gf,gfwheref±g(x),(fg)(x)=f(x)g(x)

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a

0<x<1

b

0x1

c

0<x1

d

0x<1

answer is B.

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Detailed Solution

f(x)=x  is  definedifx0andg(x)=1xisdefinedif1x0x1  0x1

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