Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
To determine the inverse of the function [tex]\( h(x) \)[/tex], we need to swap the x and y coordinates of each pair in the set. The inverse function [tex]\( h^{-1}(x) \)[/tex] will have the original y-values as the x-values and the original x-values as the y-values. Let's go through each pair:
1. For the pair [tex]\((3, -5)\)[/tex], swapping the coordinates gives [tex]\((-5, 3)\)[/tex].
2. For the pair [tex]\((5, -7)\)[/tex], swapping the coordinates gives [tex]\((-7, 5)\)[/tex].
3. For the pair [tex]\((6, -9)\)[/tex], swapping the coordinates gives [tex]\((-9, 6)\)[/tex].
4. For the pair [tex]\((10, -12)\)[/tex], swapping the coordinates gives [tex]\((-12, 10)\)[/tex].
5. For the pair [tex]\((12, -16)\)[/tex], swapping the coordinates gives [tex]\((-16, 12)\)[/tex].
So the inverse function [tex]\( h^{-1}(x) \)[/tex] is:
[tex]\[ h^{-1}(x) = \{(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)\} \][/tex]
Therefore, the correct answer is:
[tex]\[ \{(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)\} \][/tex]
1. For the pair [tex]\((3, -5)\)[/tex], swapping the coordinates gives [tex]\((-5, 3)\)[/tex].
2. For the pair [tex]\((5, -7)\)[/tex], swapping the coordinates gives [tex]\((-7, 5)\)[/tex].
3. For the pair [tex]\((6, -9)\)[/tex], swapping the coordinates gives [tex]\((-9, 6)\)[/tex].
4. For the pair [tex]\((10, -12)\)[/tex], swapping the coordinates gives [tex]\((-12, 10)\)[/tex].
5. For the pair [tex]\((12, -16)\)[/tex], swapping the coordinates gives [tex]\((-16, 12)\)[/tex].
So the inverse function [tex]\( h^{-1}(x) \)[/tex] is:
[tex]\[ h^{-1}(x) = \{(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)\} \][/tex]
Therefore, the correct answer is:
[tex]\[ \{(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)\} \][/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.