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)

Arantxa  B. A Level Biology tutor, GCSE Maths tutor, A Level Maths tu...

2 years ago

Answered by Arantxa , an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


Madeleine N. A Level Maths tutor, 11 Plus Maths tutor, 13 Plus  Maths...
£24 /hr

Madeleine N.

Degree: Natural Sciences (Masters) - Durham University

Subjects offered:Maths, Spanish+ 3 more

Further Mathematics
-Personal Statements-

“Enthusiastic student, studying Maths and Physics at Durham university: keen to work hard with students to improve their results.”

£20 /hr

Madura N.

Degree: Medicine (Other) - Imperial College London University

Subjects offered:Maths, Human Biology+ 5 more

Human Biology
.BMAT (BioMedical Admissions)
-Personal Statements-
-Medical School Preparation-

“I'm starting my 4th year of Medicine at Imperial. I have experience working with students and offer insightful tutorials!”

£22 /hr

Sam F.

Degree: Economics with Placement (Bachelors) - Bath University

Subjects offered:Maths, Physics+ 2 more

Extended Project Qualification

“Studying for BSc Hons Economics, A level economics, maths and physics. Able to tutor GCSE/AS/A2 Economics, Maths and GCSE physics!”

About the author

£20 /hr

Arantxa B.

Degree: Natural Sciences (Bachelors) - Durham University

Subjects offered:Maths, Spanish+ 2 more


“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Posts by Arantxa

Describe how a protein is digested

Explain what is meant by active transport

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

Translate the following into English: Hello, my name is Arantxa and I would love to help you learn Spanish!

Other A Level Maths questions

How do you integrate by parts?

Show that the integral ∫(1-2 sin^2⁡x)/(1+2sinxcosx) dx = (1/2) ln2 between the limits π/4 and 0. [5 marks]

Edexcel C1 2015 Q10. A curve with equation y = f (x) passes through the point (4, 9). Given that f′(x)=3x^(1/2)-9/(4x^(1/2))+2. Find f(x), giving each term in its simplest form.

Using the substitution of u=6x+5 find the value of the area under the curve f(x)=(2x-3)(6x+%)^1/2 bounded between x=1 and x=1/2 to 4 decimal places.

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss