Answers>Maths>IB>Article

Consider the functions f and g where f(x)=3x-5 and g(x)=x-2. (a) Find the inverse function for f. (b) Given that the inverse of g is x+2, find (g-1 o f)(x).

(a) In order to find the inverse of a function, it is easiest to swap x and y and solve for y. Here this would give, x=3y-5 => x+5=3y => (x+5)/3=y. Hence, f-1(x)=(x+5)/3. (b) Here it is important to remember the order in which to calculate the composition of a function and then slowly plugging in the required functions. This gives (g-1 o f)(x) = g-1(f(x))= g-1(3x-5)=3x-5+2=3x-3.

RM
Answered by Rebecca M. Maths tutor

2588 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

How can we calculate the maximum and minimum points of a function?


Prove by mathematical induction that (2C2)+(3C2)+(4C2)+...+(n-1C2) = (nC3).


How to prove that Integral S 1/(a^2+x^2) dx= 1/a arctan(x/a) + C ?


Derive the following: f(x)=(96/x^2)+kx


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