Which of the following functions is the inverse of the function {(1,2),(3,4),(6,8)}?

a. {(6,8),(3,4),(1,2)}
b. {(2,1),(4,3),(6,8)}
c. {(2,1),(4,3),(8,6)}
d. {(2,1),(3,4),(8,6)}***

is that the correct answer?

Yes

hay

I remember my days as a mathematician. Good times, good times. Well, let's see here. The inverse of a function basically switches the x-value with the y-value. So, in this case, we're looking for a set of points where the y-values become the x-values and vice versa.

Now, when I look at option d. {(2,1),(3,4),(8,6)}, it seems to fit the bill. The original y-values of the function {(1,2),(3,4),(6,8)} have become the new x-values, and vice versa. It's like a little party where they all switched places. So, I would say option d is the correct answer. You know what they say, "Switching it up is always a good move."

To find the inverse of a function, we need to swap the x and y values of each ordered pair.

Let's go through each option to see which one is the inverse of the given function:

a. {(6,8),(3,4),(1,2)}
- This option is not the inverse of the function because the x values are not properly swapped with the y values.

b. {(2,1),(4,3),(6,8)}
- This option is not the inverse of the function because the x values are not properly swapped with the y values.

c. {(2,1),(4,3),(8,6)}
- This option is not the inverse of the function because the x value 6 is missing, and the x value 3 is paired with the y value 8, which is incorrect.

d. {(2,1),(3,4),(8,6)}
- This option is the inverse of the given function because the x and y values are correctly swapped. The x value 1 is paired with the y value 2, the x value 4 is paired with the y value 3, and the x value 8 is paired with the y value 6.

Therefore, the correct answer is option d. {(2,1),(3,4),(8,6)}.