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

2933 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations: y=x/2 + 2 and 2y+3x=12


given that (x+8)^2-62=ax^2+bx+c find the values of a,b and c (3 marks)


Dividing Fractions


Mark wants to borrow money to buy a car. His bank offers him a loan of £5,000 to be payed back over 3 years at 4% compound interest. a) Work out the interest acquired in the 2nd year. b) In total how much will Mark end up paying back the bank?


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