Select the correct answer.
Consider the function below.
х
-1
0
1
2
fx)
-2.
3
8
00
13
Which of the following functions could be the Inverse of function ?
A.
Х
-2
3
00
8
13
g(x)
-1
0
1
2
B.
Х
-2
-3
-8
-13
1
0
-1
-2
OC.
х
-1
0.
1
2
p(x)
2.
-3
-8
-13
D.
х
1
0
-1
-2
s(X)
-2
3
3
00
8
13
Answers
Answer:
A
Step-by-step explanation:
i pick that answer because u have yo flip the number around
The inverse of the function is:
f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the inverse of the function, we need to switch the x and y variables, and then solve for y.
So, we start by writing the function in terms of y:
y = f(x) = {-2, 3, 8, 13} corresponding to x = {-1, 0, 1, 2}
Now we switch the x and y variables:
x = f(y) = {-2, 3, 8, 13} corresponding to y = {-1, 0, 1, 2}
Next, we solve for y:
For x = -2, y = -1
For x = 3, y = 0
For x = 8, y = 1
For x = 13, y = 2
Therefore,
The inverse of the function is:
f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}
Learn more about functions here:
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Step-by-step explanation:
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