How do you show that #f(x)=x^3/8# and #g(x)=root3(8x)# are inverse functions algebraically and graphically?

Related questions

• What is function composition?
• What are some examples of function composition?
• What are some common mistakes students make with function composition?
• Is function composition associative?
• Is it always true that #(f@g)(x) = (g@f)(x)#?
• If #f(x) = x + 3# and #g(x) = 2x - 7#, what is #(f@g)(x)#?
• If #f(x) = x^2# and #g(x) = x + 2#, what is #(f@g)(x)#?
• If #f(x) = x^2# and #g(x) = x + 2#, what is #(g@f)(x)#?
• What is the domain of #(f@g)(x)#?
• What is the domain of the composite function #(g@f)(x)#?