Find the inverse of y = 2x+1/ x-1

the aim of finsing the inverse is making x the subject. To start we need to multiply both sides by: (x-1), giving us:y(x-1) = 2x+1now we need to expand the brackets:yx - y = 2x+1now gather all the x components on the same side:yx-2x = 1+ynow factorise the left hand side:x(y-2) = 1+ynow make x the subject, giving us:x = 1+y/ y-2therefore, the inverse is written in terms of x, which gives us:f(x)^-1 = 1+y/y-2

AS
Answered by Amelia S. Maths tutor

10973 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Kelly is trying to work out the two values of w for which 3w-w^3=2. Her values are 1 and -1. Are her values correct?


Find the length of the hypotenuse of a right angled triangle which has other two sides of length 5 and 12.


How do I deal with quadratic inequalities?


Salika travels to school by train every day. The probability that her train will be late on any day is 0.3. If salika is late on 4 consecutive days she gets a detention. what is the probability she will get a detention during a week?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences