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!

BW
Answered by Bethany W. Maths tutor

2926 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Prove that one interior angle of a a regular octagon = 135 degrees


Solve y = 2x^2 - 5x - 1 for x = -1 and x = 2


How do you work out the median of a set of numbers?


How do I work out probability when a random choice is repeated?


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