Question

The Functions() is represented by the following coordinates (1, -3) (2, 10) (-5, 3) (8, -11) (-1, 6). which coordinates represent the inverse of f(x):

a) (-3, 1)
b) (-10, 2)
c) (3, -5)
d) (-11, 8)

Answer 1

To find the inverse of a function, we swap the x and y coordinates of the original function's points. The coordinates representing the inverse function of the given points are a) (-3, 1), c) (3, -5), and d) (-11, 8).

Step-by-step explanation:

To find the inverse of a function, we interchange the x and y coordinates of the given points of the original function. For example, if a point on the original function is (a, b), the corresponding point on the inverse function would be (b, a).

Given the coordinates of the function f(x):

• (1, -3)
• (2, 10)
• (-5, 3)
• (8, -11)
• (-1, 6)

We need to find which of the following coordinates represent the inverse of f(x):

1. (-3, 1)
2. (-10, 2)
3. (3, -5)
4. (-11, 8)

By interchanging the x and y values, we can determine:

• The inverse of (1, -3) is (-3, 1)
• The inverse of (2, 10) is (10, 2), which is not listed as an option
• The inverse of (-5, 3) is (3, -5)
• The inverse of (8, -11) is (-11, 8)
• The inverse of (-1, 6) is (6, -1), which is also not listed as an option

Thus, the correct answers are a) (-3, 1), c) (3, -5), and d) (-11, 8).