Answer:
Step-by-step explanation:
by definition : The inverse of a relation consisting of points of the form (x,y) is the set of points (y,x)
if (1,7) is a point belong to f(x), then the inverse has to be (7,1) not (8,1)
Ordered pair[tex](8, 1)[/tex] cannot belong to the inverse of the given function because ordered pair [tex](7,1).[/tex]belong to the inverse function of the given function.
" Inverse function is defined as when the domain and range of a function interchange with each other of the given function. It is represented by[tex]y = g(x)[/tex]then its inverse is [tex]x = f(y)[/tex]"
According to the question,
Given function,
Function[tex]f(x)[/tex] with ordered pair [tex](1,7)[/tex]
Domain of a function[tex]= 1[/tex]
Range of a function [tex]= 7[/tex]
As per the definition of inverse function,
Domain of inverse function [tex]= 7[/tex]
Range of a inverse function [tex]= 1[/tex]
Ordered pair[tex](7, 1)[/tex] belongs to inverse of the given function.
Hence, ordered pair[tex](8, 1)[/tex] cannot belong to the inverse of the given function.
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