Answer:
Two functions which satisfies the H(x) are f(x) = 2x - 4, (x) = x⁵ and
f(x) = 2x, g(x) = x⁵ - 2
Step-by-step explanation:
The given question is based on the decomposition of a given function into two functions
Decomposition of a function :- functional decomposition is the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed from those parts by function composition
so the function given in the question is H(x) = 2x⁵ - 4
now by using the concept of decomposition of a function we can find two functions f and g
therefore,
f(x) = 2x - 4
and g(x) = x⁵
similarly we can find another pair which satisfies the function H(x)
f(x) = 2x
and g(x) = x⁵ - 2
more about decomposition of functions at :
https://brainly.com/question/14310025
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