Question

You are told that h is a one-to-one function with values h(2) = 9 and h(4) = 10. Which of the following must be true? Select all correct answers. Select all that apply:a. h^-1(2) = -9 b.h^-1(9) = 2 c. h^-1(10) = 2 d. h^-1(9) = 10 e. h^-1(10) = 4 h-|(10) = 4 f. h^-1(4) = -10

Answer 1

The correct statements are: h^-1(9) = 2 and h^-1(10) = 4. So the correct option is B and E.


1. A one-to-one function is a function in which each input has a unique output.
2. Given that h is a one-to-one function with h(2) = 9 and h(4) = 10, we need to find the inverse function, h^-1(x).
3. To find the inverse, we switch the input and output values.
4. So, the inverse function would be h^-1(9) = 2 and h^-1(10) = 4.
5. Therefore, the correct statements are b. h^-1(9) = 2 and e. h^-1(10) = 4.


A one-to-one function is a function in which each input has a unique output. In this question, we are given that h is a one-to-one function with h(2) = 9 and h(4) = 10. We are asked to determine which statements must be true. To find the inverse function, h^-1(x), we switch the input and output values.

So, for example, h^-1(9) would equal 2, and h^-1(10) would equal 4. Looking at the given options, we can see that statement b. h^-1(9) = 2 and statement e. h^-1(10) = 4 are correct. Therefore, the correct statements are b. h^-1(9) = 2 and e. h^-1(10) = 4.