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

3155 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations 3x+2y=4 and 4x+5y=17 for x and y


Solve 5x - 2 > 3x + 11


Simplyfy, ((x-2)(x^2+5x+6)-(2x^2+10x+12))/(x^2+x-2)


Solve the simultaneous equations for x and y: 3x+2y = 14 and 5x-y = 6


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning