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Type the correct answer in each box.

Consider the table modeling function f.
x
-1
-9
Complete the table modeling the inverse of function f.
x
-2
-28
f¹(x)
-2
0
-2
0
1
-1
2
0
0

1 Answer

2 votes

A table modeling the inverse of function f(x) should be completed as follows;

x -28, -9, -2, -1, 0


f^(-1)(x) -2, -1, 0, 1, 2

In Mathematics, an inverse function refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

From the information provided, we can logically deduce the following ordered pairs from the graph of the parent function:

x, f(x) = {(-2, 28), (-1, 9), (0, -2), (1, -1) ,(2, 0)}

In order to determine the inverse of this function f(x), we would interchange (swap) both the input value (x) and output value (y) as follows:

Inverse of f(x) = {(28, -2) (9, -1), (-2, 0), (-1, 1), (0, 2)}

In this context, the table can be completed as follows;

x -28, -9, -2, -1, 0


f^(-1)(x) -2, -1, 0, 1, 2

Complete Question:

Type the correct answer in each box.

Consider the table modeling function.

Complete the table modeling the inverse of function f.

Type the correct answer in each box. Consider the table modeling function f. x -1 -9 Complete-example-1
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