70.2k views
3 votes
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

User Karel Kral
by
7.9k points

1 Answer

2 votes

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.

User Bradtgmurray
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories