100920 More problems on function operations

Also youre not allowed to pick functions that already

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Also, you’re not allowed to pick functions that already appeared on this assignment. 10. Make up a pair of functions f and g such that f ( g ( x )) = 6 + x . Confirm your answer with a machine diagram. 11. Make up a pair of functions f and g such that f ( g ( x )) = 6 + x . Confirm your answer with a machine diagram. 12. Make up a pair of functions f and g such that f ( g ( x )) = x + 6. (Don’t forget the special rule printed above.) 13. Make up a pair of functions f and g such that f ( g ( x )) = x . (Don’t forget the special rule printed above.) 14. a. Make up a pair of functions f and g such that f ( g ( x )) and g ( f ( x )) turn out to be equal. b. Make up a pair of functions f and g such that f ( g ( x )) and g ( f ( x )) turn out to be unequal.
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