Ifย ๐(๐(๐ฅ))=cos(5๐ฅ+4), find the functions ๐(๐ฅ) and ๐(๐ฅ).Note: there may be more than one solution, but do not use the trivial solution ๐(๐ฅ)=๐ฅ.๐(๐ฅ)= ๐(๐ฅ)=
Question
Solution 1
The question is asking to find the functions f(x) and g(x) such that f(g(x)) = cos(5x+4).
One possible solution could be:
f(x) = cos(x) g(x) = 5x + 4
This is because if you substitute g(x) into f(x), you get f(g(x)) = cos(5x+4), which is the original function.
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