How do you verify that #f(x)=3x^4+1, x>=0; g(x)=root4(1/3x-1/3)# are inverses?
1 Answer
Aug 13, 2017
If
#f(g(x)) = 3(root(4)(1/3x- 1/3))^4 + 1#
#f(g(x)) = 3((1/3x - 1/3)^(1/4))^4 + 1#
#f(g(x)) = 3(1/3x - 1/3) + 1#
#f(g(x)) = x - 1 + 1 #
#f(g(x)) = x#
As required
Hopefully this helps!
