Question

State which of the following are one - one and onto functions i) f: R R defined by f(x) = 2x + 1. ii) f: R → {x/x ≥ 0} defined by f(x) = x². iii) f: R-{2}→R-{1} defined by f(x)=x+2/ x-2'
$State which of the following are one - one and onto functions\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ i) f: R R defined by f(x) = 2x + 1. ii) f: R → {x/x ≥ 0} defined by f(x) = x².\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ iii) f: R-{2}→R-{1} defined by f(x)=x+2\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ x-2'$
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Answer 1

Answer:

one and onto functions i) f: R R defined by f(x) = 2x + 1. ii) f: R → {x/x ≥ 0} defined by f(x) = x². iii) f: R-{2}→R-{1} defined by f(x)=x+2/ x-2'

State which of the following are one - one and onto functions\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ i) f: R R defined by f(x) = 2x + 1. ii) f: R → {x/x ≥ 0} defined by f(x) = x².\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ iii) f: R-{2}→R-{1} defined by f(x)=x+2\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ x-2'Statewhichofthefollowingareone−oneandontofunctions \textless br/ \textgreater \textless br/ \textgreater i)f:RRdefinedbyf(x)=2x+1.ii)f:R→x/x≥0definedbyf(x)=x². \textless br/ \textgreater \textless br/ \textgreater iii)f:R−2→R−1definedbyf(x)=x+2 \textless br/ \textgreater \textless br/ \textgreater x−2

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