The value of f^{-1}(0) using the table given.Given: a table of values

Kye

Kye

Answered question

2021-09-09

The value of f1(0) using the table given.
Given: a table of values for the functions f(x) and g(x).
x02468f(x)82064
x02468g(x)48026

Answer & Explanation

bahaistag

bahaistag

Skilled2021-09-10Added 100 answers

The objective is to determine f1(0).
A function is said to be invertible if it sends each input x-value to exactly one output f(x). If a function f(x) is invertible, its inverse is written f1(x). The inverse f1(x) takes output values of f(x) and produces input values.
That is: f1(b)=a if and only if f(a)=b.
Let f1(0)=a. This means a is the number such that f(a)=0. To find a, look for the column in the table with an f(x)-value of 0. In the given table, f(a)=0 when a=4. Thus, f1(0)=4
Conclusion:
Using the given table, the value of f1(0) was determined to be 4.

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