Find the inverse of f(x) = (3x - 6)/2

First, imagine that f(x) is written as y: 

y = (3x -6)/2

swap the variables over so you write y as x and x as y:

x = (3y - 6)/2

Next, solve for x (try and get the y on its own on the right hand side)

2x = 3y - 6

2x + 6 = 3y

(2x + 6)/3 = y

Finally, swap the x and y back over to receive your answer!

f(x)' = (2x + 6)/3

where f(x)' is the inverse of f(x)

AB
Answered by Arantxa B. Maths tutor

10077 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate, y = 2x^3 + 2/x + 3


given that y = 1 when x = π, find y in terms of x for the differential equation, dy/dx = xycos(x)


How do we know which formulas we need to learn for the exam?


Find the coordinates of the minimum point of the curve y = 3x^(2) + 9x + 10


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