290,891 views
11 votes
11 votes
Given f (x), find g(x) and h(x) such that f(x)= g(h(x)) and neither g(x) nor h(x) is solely x.
\sqrt[3]{3x ^(3) - 1 } - 3answer: g(x) =h(x) =

User Dehamzah
by
2.8k points

1 Answer

4 votes
4 votes

Problem

Solution

For this case we can use this functions:

h(x) = 3x^3 -1

g(x)= x^(1/3) -3

And we satisfy the condition that

f(x) = g(h(x))

Given f (x), find g(x) and h(x) such that f(x)= g(h(x)) and neither g(x) nor h(x) is-example-1
User Fefe
by
2.8k points