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Q.

Let f:R→R be defined as f(x)=2x-1 and g:R-{1}→R be defined as gx=x−12x−1 then the composite function fgx is defined as

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a

Both one - one and onto

b

Neither one one nor onto

c

one one but not onto

d

onto but not one one

answer is C.

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Detailed Solution

fgx=2gx−1=2x−12x−1−1=2x−1x−1−1=xx−1this function is both one one and onto in the domain of gx
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