State with reason whether following functions have inverse $g :\{5,6,7,8\} \rightarrow\{1,2,3,4\}$ with $g=\{(5,4),(6,3),(7,4),(8,2)\}$
State with reason whether following functions have inverse $g :\{5,6,7,8\} \rightarrow\{1,2,3,4\}$ with $g=\{(5,4),(6,3),(7,4),(8,2)\}$
$g :\{5,6,7,8\} \rightarrow\{1,2,3,4\}$ defined as
$g =\{(5,4),(6,3),(7,4),(8,2)\}$
From the given definition of $g$, it is seen that $g$ is a many one function as $g(5)=g(7)=4$
$\therefore g$ is not one - one.
Hence, function $g$ does not have an inverse.
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