Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
Step-by-step explanation:
The function doesnt have an inverse. In order for a function to actually have an inverse, it has to pass the horizontal line test. The function above has repeating y-values because of the x^2.
With all this said, you can still find the inverse of the function as long as you restrict the domain (x-values) for the function. So, you cant consider the negative x-values.
First, replace f(x) with y and then switch the x and y variables
[tex]x=2y^2-4[/tex]
Then solve for y by adding 4 to both sides, dividing by 2, and finally taking the square root.
[tex]x+4=2y^2[/tex]
[tex]\frac{x+4}{2} =y^2[/tex]
[tex]\sqrt{\frac{x+4}{2} }=y[/tex]
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.