Question #a5656 Precalculus Functions Defined and Notation Domain 1 Answer VinÃcius Ferraz Feb 6, 2017 #CC - {1}# Explanation: You want the domain of #f^-1(x) = y#, #x = frac{y - 5}{y + 5}# #xy + 5x = y - 5# #xy - y = -5x - 5# #y = frac{-5x - 5}{x - 1} = -5 frac{x + 1}{x - 1}# We may divide by #x - 1# if and only if #x ne 1#. Answer link Related questions What is the domain of a function? What are common mistakes students make when working with domain? How does the domain of a function relate to its x-values? What is the domain of a linear function? What is the domain of a quadratic function? What is the domain of a function like #f(x) = 5x^2#? What is the domain of #f(x) = {(1, 2), (3, 4), (5, 6), (7, 8), (9, 10), (10, 10)}#? What is the domain of #f(x) = x#? How do I find the domain of the function #f(x) = 2x#? How do I find the domain of the function #f(x)=5x^2+2x-1#? See all questions in Domain Impact of this question 1722 views around the world You can reuse this answer Creative Commons License