Find the inverse function of f(x) = 5 / (x - 4)

To find the inverse of a function you follow 3 steps.Replace f (x) with x and any x variables with y Rearrange this equation into the form y = x variablesReplace the y with f ^-1 (x) and you have your answer
Solution:f (x) = 5 / (x - 4) x = 5 / (y - 4) x ( y - 4) = 5xy - 4x = 5xy = 5 + 4xy = (5 + 4x) / xf ^-1 (x) = (5 + 4x) / x

Answered by Kristen G. Maths tutor

2549 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Simplify: 5a + 2 – a + 9


I’ve been taught two methods for solving pairs of simultaneous equations. When should I use which?


A picture is bought at a sale for £40. It is laster sold for £50. What is the percentage profit?


The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences