h: A B, A= 1,2,3 , B=(3,4,5,6,7,8 h(x)=x+5. State the type of fun… - Vidyadip

Question

$h: A \rightarrow B, A=\{1,2,3\} \text {, }$
$B=(3,4,5,6,7,8\} h(x)=x+5$. State the type of function $h$.

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Answer

$h: A \rightarrow B$
$A=\{1,2,3\} \text { and } h(x)=x+5$
$\therefore h(1)=1+5=6, h(2)=2+5=7, h(3)=3+5=8$
$B=\{3,4,5,6,7,8\}$
For the elements $1,2,3$ of domain $h(1) \neq h(2) \neq h(3)$.
Therefore, function $h$ is one-one function.

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