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)

Answered by Arantxa B. Maths tutor

9947 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has equation y = f(x) and passes through the point (4,22). Given that f'(x) = 3x^2 - 3x^(1/2) - 7 use intergration to find f(x).


Solve the differential equation dx/dt = -2(x-6)^(1/2) for t in terms of x given that x = 70 when t = 0.


Integrate 1/u(u-1)^2 between 4 and 2


Find the integral of 3x^2 + 4x + 9 with respect to x.


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