Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

f(x) = x² - 4
explanation of inverse for this function


Sagot :

Answer:

[tex]f^{-1}(x)[/tex] = ±√(x + 4)

Step-by-step explanation:

f(x) = x² - 4

substitute y for f(x):   y = x² - 4

Swap y and x:           x = y² - 4

Make y the subject:  x + 4 = y²  ⇒  y = ±√(x + 4)

substitute [tex]f^{-1}(x)[/tex] for y:  [tex]f^{-1}(x)[/tex] = ±√(x + 4)

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.