Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Find the domain and range of function y = √(−x^{2} −6x+2)

Sagot :

[tex]y=\sqrt{-x^2-6x+2}\\\\D:-x^2-6x+2\geq0\\\\a=-1;\ b=-6;\ c=2\\\\\Delta=b^2-4ac;\ iff\ \Delta \geq0\ then\ x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\Delta=(-6)^2-4\cdot(-1)\cdot2=36+8=44;\ \sqrt\Delta=\sqrt{44}=\sqrt{4\cdot11}=2\sqrt{11}\\\\x_1=\frac{6-2\sqrt{11}}{2\cdot(-1)}=-3+\sqrt{11};\ x_2=\frac{6+2\sqrt{11}}{2\cdot(-1)}=-3-\sqrt{11}\\\\look\ at\ the\ picture\\\\D:x\in\left<-3-\sqrt{11};-3+\sqrt{11}\right>[/tex]
View image Аноним
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.