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

Related Maths A Level answers

All answers ▸

Integrate (x^2 +2)(2x-6) with respect to x.


Integrate ⌠( xcos^2(x))dx


Find the general solution to the differential equation dy/dx = y/(x+1)(x+2)


Integrate (x+3)/(x(x-3)) with respect to x