Answer:
[tex]\text{The relation is }\lbrace(9.3,18),(9.1,21),(8.6,30),(8.9,45),(8.4,50),(8.2,65)\rbrace[/tex]
Explanations:
Given the coordinate that represents the ordered pair of the function expressed as:
[tex]f=\mleft\lbrace(18,9.3),(21,9.1),(30,8.6),(45,8.9),(50,8.4),(65,8.2)\mright\rbrace[/tex]
The set of the inverse of the function will be determined by simply switching the coordinates of the function. The inverse function rule is described as:
[tex](x,y)\rightarrow(y,x)[/tex]
Applying this rule, the inverse of the set of ordered pairs will be given as:
[tex]f^{-1}(x)=\lbrace(9.3,18),(9.1,21),(8.6,30),(8.9,45),(8.4,50),(8.2,65)\rbrace[/tex]
This gives the relation of its inverse function.
