Respuesta :

f^-1 is found by reading the table from right to left, so find the f(x) number in the right hand column and f^-1 would be the number in the left hand column.


When f(x) = 3, x = 2

f^-1(3) would be 2


When f(x) = 8, x = 7

f^-1(8) = 7


As per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].

What is function?

" Function is defined as the for each input value there is one and only one output."

According to the question,

From the given table value of function [tex]f(x)[/tex]defined for [tex]x[/tex]

Consider,

[tex]f(x) = y\\\\\implies x = f^{-1}(y)[/tex]

Value of required function we get,

[tex]y= 3\\\\\implies f^{-1}(3)= 2[/tex]

[tex]y= 8\\\\\implies f^{-1}(8)= 7[/tex]

Hence, as per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].

Learn more about function here

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