Prove that f(x) the inverse function of g(x) where f(x)= - 3x–6 and g(x)= - x/3–2

f(x) and g(x) are inverse functions when the following equations are true:f(g(x))=x
g(f(x))=xTo find (f(g)(x)) or (g(f(x)), use the inner function as the input for the outer function.
f(g(x))=-3((-x/3-2))-6 = x
g(f(x))= (-(-3x-6)/3)-2 = x, hence  f and g are inverse functions


SK
Answered by Sheela K. Maths tutor

3024 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has equation y = x^3 - 48x. The point A on the curve has x coordinate -4. The point B on the curve has x coordinate - 4 + h. Show that that the gradient of the line AB is h^2 - 12h.


Differentiate f(x) = (x+3)/(2x-5) using the quotient rule.


dy/dx= 2x/2 - 1/4x, what is d2y/dx2?


Find the surface area of a hand held fan (modeled with negligible depth) with radius 8 cm and a 60 degree angle at the centre


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences