Find f^-1(x) for the following equation: f(x) = (12+x)/3

f-1(x) is equivalent to the inverse of the function f(x). To solve the inverse of a function, a series of steps must be followed:
1) Write out the equation x = f(y)
This in effect is replacing all x's of the equation with y's, and vice versa.x = (12 + y)/3
2) Rearrange the equation to make y the subject.y = 3x - 12
3) Replace y with f-1(x). This is an important final step that can easily be missed and cause loss of marks despite your ability to answer all previous parts of the question perfectly!
Final Answer =f-1(x) = 3x - 12
TIP: Always follow these series of steps for this type of question!

Answered by Bethany W. Maths tutor

2893 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the definition of the slope?


Solve the following simultaenous equations


3/5 of a number is 162. Work out what 4/5 of the same number is.


Factorize x^2 + 4x -5 and hence find the roots of the quadratic equation y = x^2 + 4x - 5.


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